Physics of reaction waves

A. G. Merzhanov; E. N. Rumanov

doi:10.1103/RevModPhys.71.1173

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Physics of reaction waves

A. G. Merzhanov and E. N. Rumanov

Institute of Structural Macrokinetics, Russian Academy of Sciences, Chernogolovka, Moscow, 142432 Russia

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Rev. Mod. Phys. 71, 1173 – Published 1 July, 1999

DOI: https://doi.org/10.1103/RevModPhys.71.1173

Abstract

Reaction waves, in which an energy source sustains a wave front, occur in many areas of physics. The most important of them is a solitary wave or autowave, which is described on a coarse scale as a flamon, a surface separating zones. Mathematically, the waves are described by nonlinear transport equations, whose approximate solution gives propagation velocities of interfaces and stability criteria for the wave fronts. The instabilities of the autowave can produce complicated behavior such as periodic waves or spirals in two dimensions. Manifestations of the complex behavior include Gunn domains and cellular front structures. Important parameters that permit one to classify the wave and its stability are the Lewis number and the Zel’dovich number. A reaction wave can also have a more complicated inner structure, with several zones responsible for different physical properties.

References (296)

Abramov, V. G., and A. G. Merzhanov, 1975, Teor. Osnovy Khim. Tekhnol. 9, 863.
Agladze, K. I., V. A. Davydov, and A. S. Mikhailov, 1987, Pis’ma Zh. Éksp. Teor. Fiz. 45, 601 [JETP Lett. 45, 767 (1987)].
Aldushin, A. P., 1977, unpublished.
Aldushin, A. P., 1984, Combust., Explos. Shock Waves 20, 310.
Aldushin, A. P., 1987, Combust., Explos. Shock Waves 23, 338.
Aldushin, A. P., 1993, Combust. Flame 94, 308.
Aldushin, A. P., A. Bayliss, B. J. Matkowsky, and V. A. Volpert, 1994, in Combustion, Detonation, Shock Waves. Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 1, p. 190.
Aldushin, A. P., and S. G. Kasparyan, 1978, “Heat-diffusional instability of the combustion stationary wave,” USSR AS Division of the Institute of Chemical Physics preprint, in Russian.
Aldushin, A. P., and S. G. Kasparyan, 1979, Dokl. Akad. Nauk SSSR 244, 67 [Sov. Phys. Dokl. 24, 29 (1979)].
Aldushin, A. P., S. G. Kasparyan, and K. G. Shkadinski, 1979, Akad. Nauk SSSR 247, 1112 [Sov. Phys. Dokl. 24, 636 (1979)].
Aldushin, A. P., V. D. Lugovoi, A. G. Merzhanov, and B. I. Khaikin, 1978, Dokl. Akad. Nauk SSSR 243, 1434 [Sov. Phys. Dokl. 23, 914 (1978)].
Aldushin, A. P., T. M. Martem’yanova, A. G. Merzhanov, and B. I. Khaikin, 1973, Combust., Explos. Shock Waves 9, 531.
Aldushin, A. P., and A. G. Merzhanov, 1977, Dokl. Akad. Nauk SSSR, Ser. Khim. 236, 1133 [Dokl. Phys. Chem. 236, 973 (1977].
Aldushin, A. P., and A. G. Merzhanov, 1987, “Theory of filtration combustion: general concepts and state-of-the-art,” USSR AS Institute of Chemical Physics preprint, in Russian.
Aldushin, A. P., A. G. Merzhanov, and B. I. Khaikin, 1972, Dokl. Akad. Nauk SSSR, Ser. Khim. 204, 1139 [Dokl. Phys. Chem. 204, 475 (1972)].
Aldushin, A. P., A. G. Merzhanov, and B. I. Khaikin, 1974, Dokl. Akad. Nauk SSSR, Ser. Khim. 235, 612 [Dokl. Phys. Chem. 235, 295 (1974)].
Aldushin, A. P., and B. S. Seplyarski, 1979, Dokl. Akad. Nauk SSSR 249, 585 [Sov. Phys. Dokl. 24, 928 (1979)].
Aldushin, A. P., Ya. B. Zel’dovich, and S. I. Khudyaev, 1979, Combust., Explos. Shock Waves 15, 705 (1979).
Aldushin, A. P., Ya. B. Zel’dovich, and B. A. Malomed, 1980, Dokl. Akad. Nauk SSSR 251, 1102 [Sov. Phys. Dokl. 25, 273 (1980)].
Aleksandrov, V. I., V. V. Osiko, A. M. Prokhorov, and V. M. Tatarintsev, 1973, Vestn. Akad. Nauk SSSR 12, 40.
Aleksandrov, V. I., V. R. Voitsitski, E. E. Lomonova, V. V. Osiko, and N. P. Khaneev, 1991, Izv. Akad. Nauk SSSR, Neorg. Mater. 27, 983.
Andronow, A. A., 1929, C. R. Acad. Sci. 189, 15.
Andronow, A. A., and E. A. Leontovich-Andronowa, 1939, Sci. Notes Gorkii Univ. No. 6, p. 3, in Russian.
Andronow, A. A., A. A. Vitt, and S. E. Khaikin, 1987, Theory of Oscillators (Dover, New York).
Anisimov, S. I., M. M. Tribelski, and Ya. G. Epelbaum, 1980, Zh. Éksp. Teor. Fiz. 78, 159 [Sov. Phys. JETP 51, 802 (1980)].
Aronson, D. G., and H. F. Weinberger, 1975, in Partial Differential Equations and Related Topics, edited by J. A. Goldstein (Springer, Heidelberg), p. 5.
Bakhman, N. N., and A. F. Belyaev, 1967, Combustion of Heterogeneous Condensed Compositions (Nauka, Moscow), in Russian.
Barelko, V. V., I. M. Barkalov, D. A. Vaganov, A. M. Zanin, and D. P. Kiryukhin, 1982, Dokl. Akad. Nauk SSSR 261, 99.
Barelko, V. V., I. M. Barkalov, V. I. Goldanskii, D. P. Kiryukhin, and A. M. Zanin, 1988, Adv. Chem. Phys. 74, 339.
Barelko, V. V., I. I. Kurochka, and A. G. Merzhanov, 1976, Dokl. Akad. Nauk SSSR, Ser. Khim. 229, 898 [Dokl. Phys. Chem. 229, 695 (1976)].
Barelko, V. V., and Yu. E. Volodin, 1973, Dokl. Akad. Nauk SSSR, Ser. Khim. 211, 1373 [Dokl. Phys. Chem. 211, 673 (1973)].
Barenblatt, G. I., 1971, unpublished.
Barenblatt, G. I., and Ya. B. Zel’dovich, 1957, Prikl. Mat. Mekh. 2, 856.
Barenblatt, G. I., and Ya. B. Zel’dovich, 1971, Usp. Mat. Nauk 26, 115 [Russ. Math. Surv. 26, 45 (1971)].
Barenblatt, G. I., Ya. B. Zel’dovich, and A. G. Istratov, 1962, Prikl. Mekh. Tekh. Fiz. 4, 66.
Bayliss, A., C. Gotlieb, B. J. Matkowsky, and M. Minkoff, 1989, J. Comput. Phys. 81, 421.
Bayliss, A., and B. J. Matkowsky, 1990, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 50, 437.
Bayliss, A., and B. J. Matkowsky, 1997, in Advances in Combustion Science: In Honor of Ya. B. Zel’dovich, edited by W. A. Sirignano, A. G. Merzhanov, and L. De Luca, Progress in Astronautics and Aeronautics, No. 173 (American Institute of Aeronautics and Astronautics, Reston, VA), p. 157.
Belyaev, A. F., 1940, Zh. Fiz. Khim. 14, 1009.
Belyaev, A. F., and L. D. Komkova, 1950, Zh. Fiz. Khim. 24, 1702.
Bénard, H., 1900, Rev. Gen. Sci. Pures Appl. 11, 1261.
Ben-Jacob, E., H. R. Brand, G. Dee, L. Kramer, and J. S. Langer, 1985, Physica D 14, 348.
Born, M., 1955, Phys. Bl. 11, 49.
Borovikov, M. B., T. A. Burovoi, U. I. Goldshleger, and A. G. Merzhanov, 1983, Dokl. Akad. Nauk SSSR 272, 327 [Sov. Phys. Dokl. 28, 758 (1983)].
Bradley, D., and C. M. Harper, 1994, Combust. Flame 99, 562.
Brazhnik, P. K., V. A. Davydov, and A. S. Mikhailov, 1986, in Kinetics and Combustion, edited by G. B. Manelis (USSR AS Institute of Chemical Physics, Chernogolovka).
Brazhnik, P. K., V. A. Davydov, and A. S. Mikhailov, 1988, Teor. Mat. Fiz. 94, 440.
Brazhnik, P. K., V. A. Davydov, V. S. Zykov, and A. S. Mikhailov, 1987, Zh. Éksp. Teor. Fiz. 93, 1725 [Sov. Phys. JETP 66, 984 (1987)].
Broida, H. P., and J. R. Pellam, 1954, Phys. Rev. 95, 845.
Buben, N. Ya., 1946, in The Collection of Works in Physical Chemistry, Additional Volume of Zh. Fiz. Khim. (USSR AS, Moscow), p. 148.
Buckmaster, J. D., 1982, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 43, 1335.
Bunkin, F. V., V. I. Konov, A. M. Prokhorov, and V. B. Fedorov, 1969, Pis’ma Zh. Eksp. Teor. Fiz. 9, 609 [JETP Lett. 9, 371 (1969)].
Bychkov, V. V., and M. A. Liberman, 1997, Phys. Rev. Lett. 78, 1371.
Campbell, C., and D. W. Woodhead, 1926, J. Chem. Soc. 6, 3010.
Casten, R. C., H. Cohen, and P. A. Lagerstrom, 1975, Appl. Math. (Germany) 32, 305.
Castets, V., E. Dulos, J. Boissonade, and P. DeKepper, 1990, Phys. Rev. Lett. 64, 2953.
Chapman, D. L., 1899, Philos. Mag. 47, 90.
Clavin, P., 1985, Prog. Energy Combust. Sci. 11, 1.
Copeland, J., 1966, J. Appl. Phys. 37, 3602.
Cordoner, J. A., and L. D. Schmidt, 1989, Chem. Eng. Sci. 44, 1983.
Cox, M. P., G. Ertl, and R. Imbihl, 1985, Phys. Rev. Lett. 54, 1725.
Cross, M. C., and P. C. Hohenberg, 1993, Rev. Mod. Phys. 65, 851.
Darrieus, C., 1944, J. Phys. Chem. 88, 641.
Davies, W., 1934, Philos. Mag. 17, 253.
Davydov, V. A., and A. S. Mikhailov, 1987, Nonlinear Waves. Structures and Bifurcations (Nauka, Moscow).
Davydov, V. A., and V. S. Zykov, 1989, Zh. Éksp. Teor. Fiz. 95, 139 [Sov. Phys. JETP 68, 80 (1989)].
Davydov, V. A., V. S. Zykov, and A. S. Mikhailov, 1991, Usp. Fiz. Nauk 161, 45 [Sov. Phys. Usp. 34, 665 (1991)].
Davydov, V. A., V. S. Zykov, A. S. Mikhailov, and P. K. Brazhnik, 1988, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 31, 574.
Döring, W., 1943, Ann. Phys. (Leipzig) 43, 421.
Drozdov, N. P., and Ya. B. Zel’dovich, 1943, Zh. Fiz. Khim. 17, 134.
Dvoryankin, A. V., and A. G. Strunina, 1991, Combust. Explos. Shock Waves 27, 86.
el-Hamdi, M., M. Gorman, and K. Robbins, 1993, Combust. Sci. Technol. 94, 87.
Ertl, G., 1991, Science 254, 1750.
Feigenbaum, M. I., 1978, J. Stat. Phys. 19, 25.
Feigenbaum, M. I., 1979, J. Stat. Phys. 21, 669.
Field, R. J., and M. Burger, 1985, Eds., Oscillations and Traveling Waves in Chemical Systems (Wiley, New York).
Fife, P. C., 1985, J. Stat. Phys. 39, 687.
Filyand, L., G. I. Sivashinsky, and M. L. Frankel, 1994, Physica D 72, 110.
Fink, T., R. Imbihl, and G. Ertl, 1990, J. Chem. Phys. 91, 5002.
Fisher, R. A., 1937, Ann. Eugenics 7, 355.
Frank-Kamenetski, D. A., 1939a, Zh. Tekh. Fiz. 9, 1457.
Frank-Kamenetski, D. A., 1939b, Zh. Fiz. Khim. 13, 738.
Frank-Kamenetski, D. A., 1969, Diffusion and Heat Transfer in Chemical Kinetics (Plenum, New York).
Frank-Kamenetski, D. A., 1988.
Gaponov-Grekhov, A. V., and M. I. Rabinovich, 1979, Usp. Fiz. Nauk 128, 579 [Sov. Phys. Usp. 22, 590 (1979)].
Garbey, M., H. A. Kaper, G. K. Leaf, and B. J. Matkowsky, 1989, Appl. Math. (Germany) 47, 631.
Gibbs, J. W., 1961, The Scientific Papers (Dover, New York), Vol. 1, p. 56.
Gorman, M., M. el-Hamdi, and K. A. Robbins, 1994, Combust. Sci. Technol. 98, 79.
Goryachev, A., and R. Kapral, 1996, Phys. Rev. Lett. 76, 1619.
Gostintsev, Yu. A., A. G. Istratov, and Yu. V. Shulenin, 1989, Combust., Explos. Shock Waves 24, 70.
Grachev, V. V., and E. N. Rumanov, 1981, Dokl. Akad. Nauk SSSR, Ser. Khim. 258, 1147.
Grassberger, P., and I. Procaccia, 1983, Phys. Rev. Lett. 50, 346.
Grindrod, P., M. A. Lewis, and J. D. Murray, 1992, Proc. R. Soc. London, Ser. A 433, 151.
Gunn, J. B., 1963, Solid State Commun. 1, 88.
Gurevich, A. Vl., and R. G. Mints, 1984, Usp. Fiz. Nauk 142, 61 [Sov. Phys. Usp. 27, 19 (1984)].
Gurevich, A. Vl., and R. G. Mints, 1987, Rev. Mod. Phys. 59, 941.
Hagberg, A., and E. Meron, 1994, Chaos 4, 477.
Haken, H., 1978, Synergetics. An Introduction (Springer, Berlin).
Hopf, E., 1942, Berichte der Mathematisch-Physikalischen Klass Sächsichen Akademie der Weissenschaften zu Leipzig 94, 1.
Inge, L. D., N. N. Semenoff, and A. F. Walther, 1925, Z. Phys. 32, 373.
Istratov, A. G., 1985, unpublished.
Ivleva, T. P., A. G. Merzhanov, and K. G. Shkadinski, 1978, Dokl. Akad. Nauk SSSR 239, 1086 [Sov. Phys. Dokl. 23, 255 (1978)].
Jouget, E., 1917, Mecanique des explosifs (Delagrave, Paris).
Joulin, G., and P. Clavin, 1979, Combust. Flame 35, 139.
Kadomtsev, B. B., 1976, Collective Phenomena in Plasma (Nauka, Moscow).
Kalafati, Yu. D., I. A. Serbinov, and L. A. Ryabova, 1979, Pis’ma Zh. Éksp. Teor. Fiz. 29, 607 [JETP Lett. 29, 583 (1979)].
Karpman, V. I., 1979, Zh. Éksp. Teor. Fiz. 77, 114 [Sov. Phys. JETP 50, 58 (1979)].
Keener, J. P., and J. J. Tyson, 1991, Physica D 53, 151.
Keldysh, L. V., 1964a, Zh. Eksp. Teor. Fiz. 47, 1515.
Keldysh, L. V., 1964b, Vestnik Akad. Nauk SSSR 4, 32.
Keldysh, L. V., 1985, Priroda (Moscow) 9, 23.
Keldysh, L. V., and S. G. Tikhodeev, 1986, Zh. Éksp. Teor. Fiz. 91, 78 [Sov. Phys. JETP 64, 45 (1986)].
Kerner, B. S., and V. V. Osipov, 1989, Usp. Fiz. Nauk 157, 201 [Sov. Phys. Usp. 32, 101 (1989)].
Kerner, B. S., and V. V. Osipov, 1991, Avtosolitony (Nauka, Moscow).
Kessler, D., and R. Kupferman, 1997, Physica D 105, 207.
Khaikin, B. I., 1969, unpublished.
Khaikin, B. I., A. K. Filonemko, and S. I. Khudyaev, 1968, Combust., Explos. Shock Waves 4, 343.
Khaikin, B. I., and A. G. Merzhanov, 1967, Dokl. Akad. Nauk SSSR, Ser. Khim. 173, 1382 [Dokl. Phys. Chem. 173, 295 (1967)].
Kokochashvili, V. I., 1942, Kandidate Dissertation, SA USSR Institute of Chemical Physics, Tbilisi University.
Kolmogorov, A. N., I. G. Petrovski, and N. S. Piskunov, 1937, Bull. Moscow State Univ., Ser. Series A 1, 1.
Kompaneets, A. S., and V. Ts. Gurovich, 1966, Biofizika 11, 913.
Krylov, N. S., 1950, The Works in Statistical Physics Substantiation (Publishers SA USSR, Moscow/Leningrad).
Kudryashov, A. V., and V. G. Yakhno, 1978, in Dynamics of Biological Systems, No. 2, edited by V. I. Krinski (SA USSR Institute of Applied Physics, Gorkii), p. 45.
Kuhl, A. L., R. E. Ferguson, K.-V. Chien, J. P. Collins, and A. K. Oppenheim, 1994, in Combustion, Detonation, Shock Waves. Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 1, p. 181.
Kupervasser, D., Z. Olami, and I. Procaccia, 1996, Phys. Rev. Lett. 76, 146.
Kuramoto, Y., and T. Tsuzuki, 1976, Prog. Theor. Phys. 55, 356.
Kutateladze, S. S., Al. A. Borisov, A. A. Borisov, and V. E. Nakoryakov, 1980, Dokl. Akad. Nauk SSSR 252, 595 [Sov. Phys. Dokl. 25, 392 (1980)].
Landau, L. D., 1944a, Zh. Eksp. Teor. Fiz. 14, 240.
Landau, L. D., 1944b, Dokl. Akad. Nauk SSSR 44, 339.
Landau, L. D., and E. M. Lifshitz, 1978, Statistical Physics (Pergamon, Oxford).
Landau, L. D., and E. M. Lifshitz, 1987, Fluid Mechanics (Pergamon, Oxford).
Langmuir, I., and K. T. Compton, 1931, Rev. Mod. Phys. 3, 191.
Lee, K. G., W. D. McCormik, Q. Ouyang, and H. L. Swinney, 1993, Science 261, 192.
Lengyel, L., and I. R. Epstein, 1991, Science 251, 650.
Lewis, B., and G. von Elbe, 1934, J. Chem. Phys. 2, 537.
Lewis, B., and G. von Elbe, 1961, Combustion, Flames and Explosions of Gases (Academic, New York).
London, H., 1939, Proc. R. Soc. London, Ser. A 171, 484.
Lorenz, E., 1963, J. Atmos. Sci. 20, 130.
Loskutov, A. Yu., and A. S. Mikhailov, 1990, Introduction to Synergetics (Nauka, Moscow).
Lugovoi, V. N., and A. M. Prokhorov, 1973, Usp. Fiz. Nauk 111, 203 [Sov. Phys. Usp. 16, 285 (1973)].
Makhviladze, G. M., and B. V. Novozhilov, 1971, Prikl. Mekh. Tekh. Fiz. 5, 51.
Makshantsev, B. I., and V. M. Finkelberg, 1974, Dokl. Akad. Nauk SSSR 217, 1281 [Sov. Phys. Dokl. 19, 516 (1974)].
Maksimov, E. I., 1963, Zh. Fiz. Khim. 37, 1129 [Russ. J. Phys. Chem. 37, 595 (1963)].
Maksimov, E. I., and A. G. Merzhanov, 1966, Combust., Explos. Shock Waves 2, 25.
Maksimov, E. I., and K. G. Shkadinski, 1971, Combust., Explos. Shock Waves 7, 392.
Maksimov, Yu. M., A. G. Merzhanov, A. T. Pak, and M. N. Kuchkin, 1981, Combust., Explos. Shock Waves 17, 393.
Maksimov, Yu. M., A. T. Pak, G. V. Lavrenchuk, D. S. Naiborodenko, and A. G. Merzhanov, 1979, Combust., Explos. Shock Waves 15, 415.
Malomed, B. A., and E. N. Rumanov, 1985, Dokl. Akad. Nauk SSSR 284, 1355 [Sov. Phys. Dokl. 30, 872 (1985)].
Margolin, A. D., and P. F. Pokhil, 1963, Dokl. Akad. Nauk SSSR 150, 1304.
Margolin, A. D., and A. V. Shmelev, 1978, Combust., Explos. Shock Waves 14, 52.
Margolis, S. B., 1991, Prog. Energy Combust. Sci. 17, 135.
Markstein, G. H., 1949, J. Chem. Phys. 17, 428.
Markstein, G. H., 1951, J. Aeronaut. Sci. 18, 199.
Martin, P. C., 1965, in Low Temperature Physics, edited by J. G. Daunt, F. G. Milford, and M. Yagub (Plenum, New York), p. 9.
Mashkinov, L. B., Yu. E. Volodin, V. V. Barelko, and L. N. Gal’perin, 1975, Prib. Tekh. Éksp. 3, 140 [Instrum. Exp. Tech. 18, 965 (1975)].
Matkowsky, B. J., L. J. Putnick, and G. I. Sivashinsky, 1980, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 38, 489.
McCall, S. L., and E. L. Halm, 1969, Phys. Rev. 183, 457.
McIntosh, A. C., 1985, J. Fluid Mech. 161, 43.
Meron, E., 1992, Phys. Rep. 218, 1.
Meron, E., R. Pelce, 1988, Phys. Rev. Lett. 60, 1980.
Merzhanov, A. G., 1960, Dokl. Akad. Nauk SSSR 135, 1439.
Merzhanov, A. G., 1969, Combust. Flame 13, 143.
Merzhanov, A. G., 1977, Dokl. Akad. Nauk SSSR, Ser. Khim. 233, 1130 [Dokl. Phys. Chem. 233, 430 (1977)].
Merzhanov, A. G., 1981, Arch. Combust. 191, 23.
Merzhanov, A. G., 1983, in Physical Chemistry. Modern Problems, edited by Ya. M. Kolotyrkin (Khimia, Moscow), p. 5.
Merzhanov, A. G., V. V. Barelko, I. I. Kurochka, and K. G. Shkadinski, 1975, Dokl. Ak. Nauk SSSR, Ser. Khim. 221, 1114 [Dokl. Phys. Chem. 221, 366 (1975)].
Merzhanov, A. G., and I. P. Borovinskaya, 1972, Dokl. Akad. Nauk SSSR, Ser. Khim. 204, 366 [Dokl. Phys. Chem. 204, 475 (1972)].
Merzhanov, A. G., I. P. Borovinskaya, and Yu. E. Volodin, 1972, Dokl. Akad. Nauk SSSR, Ser. Khim. 206, 905 [Dokl. Phys. Chem. 206, 805 (1972)].
Merzhanov, A. G., A. V. Dvoryankin, and A. G. Strunina, 1982, Dokl. Akad. Nauk SSSR, Ser. Khim. 267, 869 [Dokl. Phys. Chem. 267, 979 (1982)].
Merzhanov, A. G., and A. K. Filonenko, 1963, Dokl. Akad. Nauk SSSR, Ser. Khim. 152, 143 [Dokl. Phys. Chem. 152, 769 (1963)].
Merzhanov, A. G., A. K. Filonenko, and I. P. Borovinskaya, 1973, Dokl. Akad. Nauk SSSR, Ser. Khim. 208, 905 [Dokl. Phys. Chem. 208, 122 (1973)].
Merzhanov, A. G., and B. I. Khaikin, 1988, Prog. Energy Combust. Sci. 14, 1.
Merzhanov, A. G., V. A. Raduchev, and E. N. Rumanov, 1980, Dokl. Akad. Nauk SSSR 253, 330 [Sov. Phys. Dokl. 25, 565 (1980)].
Merzhanov, A. G., and E. N. Rumanov, 1987, Usp. Fiz. Nauk 151, 553 [Sov. Phys. Usp. 30, 293 (1987)].
Merzhanov, A. G., E. N. Rumanov, and B. I. Khaikin, 1972, Prikl. Mekh. Tekh. Fiz. 6, 99.
Michelson, V. A., 1889, Ann. der Physik. und Chemie. 37, 1.
Mott, N. F., 1990, Metal-Insulator Transitions (Taylor & Francis, London).
Mulholland, A. J., and J. Gomatam, 1996, Physica D 89, 329.
Muñuzuri, A. P., V. Pérez-Villar, and M. Markus, 1997, Phys. Rev. Lett. 79, 1941.
Murray, J. D., 1989, Mathematical Biology (Springer, Berlin).
Nekrasov, E. A., and A. M. Timokhin, 1984, Combust., Explos. Shock Waves 20, 256.
Nicolis, G., and I. Prigogine, 1977, Self-Organization in Non-Equilibrium Systems (Wiley, New York).
Novozhilov, B. V., 1961, Dokl. Akad. Nauk SSSR, Ser. Khim. 141, 151 [Dokl. Phys. Chem. 141, 836 (1961)].
Novozhilov, B. V., 1970, Prikl. Mekh. Tekh. Fiz. 4, 73 [J. Appl. Mech. Tech. Phys. 4, (1970)].
Novozhilov, B. V., 1973, Non-Stationary Combustion of Solid Rocket Fuel (Nauka, Moscow).
Novozhilov, B. V., 1992a, Dokl. Akad. Nauk SSSR, Ser. Khim. 326, 485 [Dokl. Phys. Chem. 326, 523 (1992)].
Novozhilov, B. V., 1992b, Pure Appl. Chem. 64, 955.
Novozhilov, B. V., 1993, Pure Appl. Chem. 65, 309.
Novozhilov, B. V., and V. S. Posvyanski, 1973, Combust., Explos. Shock Waves 9, 191.
Onsager, L., 1931, Phys. Rev. 37, 405.
Ortoleva, P., and J. Ross, 1975, J. Chem. Phys. 63, 3398.
Ouyang, Q., V. Castets, J. Boissonade, J. S. Roux, P. DeKepper, and H. L. Swinney, 1991, J. Chem. Phys. 95, 351.
Ouyang, Q., and H. L. Swinney, 1991, Nature (London) 352, 610.
Patashinski, A. Z., and V. L. Pokrovski, 1979, The Fluctuation Theory of Phase Transitions (Pergamon, Oxford).
Pearlman, H. G., 1997, Combust. Flame 109, 382.
Pearlman, H. G., and P. D. Ronney, 1994, Phys. Fluids 6, 4009.
Pearson, J. E., 1993, Science 261, 189.
Pertsov, A. M., A. V. Panfilov, and E. A. Ermakov, 1984, Physica D 14, 311.
Peshkov, V. P., 1956, Zh. Eksp. Teor. Fiz. 30, 581.
Petersen, B. E., and H. W. Emmons, 1961, Phys. Fluids 4, 456.
Petrov, V., Q. Ouyang, and H. L. Swinney, 1997, Nature (London) 388, 655.
Philippov, G., and D. Luss, 1993, Chem. Eng. Sci. 48, 2313.
Pismen, L. M., and A. A. Nepomnyashchy, 1992, Physica D 54, 183.
Pokhil, P. F., 1953, J. Combustion Explosion Physics 2, 18, in Russian.
Polak, L. S., and A. S. Mikhailov, 1983, Self-Organization in Non-Equilibrium Physical-Chemical Systems (Nauka, Moscow).
Prandtl, L., 1904, Phys. Z. 5, 599.
Rachinski, V. V., 1964, Introduction to General Theory of Sorption Dynamics and Chromatography (Nauka, Moscow).
Raizer, Yu. P., 1974 Laser Spark and Propagation of Discharges (Nauka, Moscow).
Raizer, Yu. P., 1980, Usp. Fiz. Nauk 432, 549 [Sov. Phys.—Usp 23, 789 (1980)].
Rayleigh, J. W. S. (Lord), 1916, Philos. Mag. 92, 529.
Rehberg, I., S. Rasemat, J. Fineberg, M. de la Torre Juarez, and V. Steinberg, 1988, Phys. Rev. Lett. 61, 2449.
Reynolds, O., 1883, Philos. Trans. R. Soc. London 174, 935.
Romanovski, Yu. M., N. V. Stepanova, and D. S. Chernavski, 1984, Mathematical Biophysics (Nauka, Moscow).
Ronney, P. D., B. D. Haslam, and N. O. Rhys, 1995, Phys. Rev. Lett. 74, 3804.
Ross, J., S. C. Muller, and C. Vidal, 1988, Science 240, 460.
Ruiz-Villarreal, M., M. Gomez-Gesteira, and V. Perez-Villar, 1997, Phys. Rev. Lett. 78, 779.
Rumanov, E. N., 1978, Zh. Éksp. Teor. Fiz. 74, 1422 [Sov. Phys. JETP 47, 744 (1978)].
Rumanov, E. N., 1982a, “The melting wave in porous medium,” SA USSR Institute of Chemical Physics preprint.
Rumanov, E. N., 1982b, Pis’ma Zh. Éksp. Teor. Fiz. 35, 286 [JETP Lett. 35, 354 (1982)].
Rumanov, E. N., 1994, in Combustion, Detonation, Shock Waves, Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 2, p. 307.
Rumanov, E. N., and B. I. Khaikin, 1982, Combust., Explos. Shock Waves 18, 631.
Rumanov, E. N., and A. G. Merzhanov, 1996, Dokl. Akad. Nauk 347, 334 [Sov. Phys. Dokl. 347, 105 (1996)].
Scelkin, K. I., and Ya. K. Troshin, 1963, The Gas Dynamics of Combustion (Fizmatgiz, Moscow).
Scerbak, S. V., 1983, Combust., Explos. Shock Waves 19, 905.
Schenk, C. P., M. Or-Guil, M. Bode, and H.-G. Purwins, 1997, Phys. Rev. Lett. 78, 3781.
Schrödinger, E., 1967, What is Life? The Physical Aspect of the Living Cell (Cambridge University, Cambridge, UK).
Scott, A. G., 1970, Active and Nonlinear Wave Propagation in Electronics (Wiley, New York).
Semenoff, N. N., 1928, Phys. Z. 48, 571.
Shkadinski, K. G., B. I. Khaikin, and A. G. Merzhanov, 1971, Combust., Explos. Shock Waves 7, 15.
Shkiro, V. M., and G. A. Nersesyan, 1978, Combust., Explos. Shock Waves 14, 149.
Shklovski, V. A., 1982, Zh. Éksp. Teor. Fiz. 82, 536 [Sov. Phys. JETP 55, 311 (1982)].
Shklovski, V. A., 1994, in Combustion, Detonation, Shock Waves. Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 1, p. 346.
Showalter, K., R. M. Noyes, and H. Turner, 1979, J. Am. Chem. Soc. 101, 7463.
Sigov, A. S., and V. R. Chechetkin, 1985, Dokl. Akad. Nauk SSSR 285, 360 [Sov. Phys. Dokl. 30, 979 (1985)].
Sivashinsky, G. I., 1977a, Acta Astron. 4, 1177.
Sivashinsky, G. I., 1977b, Combust. Sci. Technol. 15, 137.
Sivashinsky, G. I., 1983, Annu. Rev. Fluid Mech. 15, 179.
Skinner, J. S., and H. L. Swinney, 1990, Physica D 45, 287.
Skripov, V. P., and A. V. Skripov, 1979, Usp. Fiz. Nauk 128, 193 [Sov. Phys. Usp. 22, 389 (1979)].
Strunin, D. V., A. G. Strunina, E. N. Rumanov, and A. G. Merzhanov, 1994, Phys. Lett. A 192, 361.
Strunina, A. G., A. V. Dvoryankin, and A. G. Merzhanov, 1983, Combust., Explos. Shock Waves 19, 158.
Sukhorukov, A. P., R. I. Khokhlov, and E. N. Shumilov, 1971, Pis’ma Zh. Éksp. Teor. Fiz. 14, 129 [JETP Lett. 14, 161 (1971)].
Taffanel, J., 1913, C. R. Bull. Soc. Chim. 157, 714.
Taffanel, J., 1914, C. R. Bull. Soc. Chim. 158, 42.
Temkin, D. E., 1989, Kristallografia 34, 807 [Sov. Phys. Crystallogr. 34, 483 (1989)].
Thom, R., 1975, Structural Stability and Morphogenesis (Benjamin, Reading, MA).
Thual, O., U. Frisch, and M. Henon, 1985, J. Phys. (Paris) 46, 1485.
Tribelskii, M. I., 1997, Usp. Fiz. Nauk 167, 167.
Tsvet, M. S., 1903, in Trudy Warshavskogo obscestva estestvoispytatelei, Otdelenie Biologii 14, 20, in Russian.
Turing, A. M., 1952, Philos. Trans. R. Soc. London, Ser. B 237, 37.
Tyson, J. J., and P. Keener, 1988, Physica D 32, 327.
Van der Pol, B., 1920, Radio Rev. 1, 701.
Van Dyke, M., 1964, Fluid Mechanics Perturbation Methods (Academic, New York).
Vasil’ev, V. A., Yu. M. Romanovski, D. S. Chernavskii, and V. G. Yakhno, 1987, Autowave Processes in Kinetic Systems (Reidel, Dordrecht).
Vasil’ev, V. A., Yu. M. Romanovski, and V. G. Yakhno, 1979, Usp. Fiz. Nauk 128, 625 [Sov. Phys. Usp. 22, 615 (1979)].
Volkov, A. F., and S. M. Kogan, 1968, Usp. Fiz. Nauk 96, 633 [Sov. Phys. Usp. 11, 881(1968)].
Volkov, A. F., and S. M. Kogan, 1974, Pis’ma Zh. Éksp. Teor. Fiz. 19, 9 [JETP Lett. 19, 4 (1974)].
Volpert, V. A., A. I. Volpert, and A. G. Merzhanov, 1982a, Dokl. Akad. Nauk SSSR, Ser. Khim. 262, 642 [Dokl. Phys. Chem. 262, 55 (1982)].
Volpert, V. A., A. I. Volpert, and A. G. Merzhanov, 1982b, Dokl. Akad. Nauk SSSR, Ser. Khim. 263, 918 [Dokl. Phys. Chem. 263, 239 (1982)].
von Neumann, J., 1942, Theory of Detonation Waves, O. S. R. D. Report No. 238, 549.
Voronkov, V. G., and N. N. Semenoff, 1939, Zh. Fiz. Khim. 13, 1635.
Weber, R. O., C. N. Mercer, H. S. Sidhu, and B. F. Gray, 1997, Proc. R. Soc. London, Ser. A 453, 1105.
Wiener, N., and A. Rosenblueth, 1946, Archives Instutite Cardiology Mexico 16, 202.
Winfree, A. T., 1972, Science 175, 634.
Winfree, A. T., 1991, Chaos 1, 303.
Winfree, A. T., and W. Janke, 1989, J. Phys. Chem. 93, 2823.
Wood, P. M., and J. Ross, 1985, J. Chem. Phys. 82, 1924.
Zabusky, M. J., and M. D. Kruskal, 1965, Phys. Rev. Lett. 15, 240.
Zaidel, R. M., and Ya. B. Zel’dovich, 1962, J. Appl. Mech. Tech. Phys. 4, 28.
Zaslavski, G. M., and R. Z. Sagdeev, 1988, Introduction to Nonlinear Physics. From Pendulum to Turbulency and Chaos (Nauka, Moscow).
Zel’dovich, Ya. B., 1940, Zh. Eksp. Teor. Fiz. 10, 542.
Zel’dovich, Ya. B., 1941a, Zh. Tekh. Fiz. 11, 493.
Zel’dovich, Ya. B., 1941b, Zh. Eksp. Teor. Fiz. 11, 159.
Zel’dovich, Ya. B., 1942, Zh. Eksp. Teor. Fiz. 12, 498.
Zel’dovich, Ya. B., 1944, The Theory of Combustion and Detonation of Gases (Publishers SA USSR, Moscow).
Zel’dovich, Ya. B., 1946, Zh. Eksp. Teor. Fiz. 16, 363.
Zel’dovich, Ya. B., 1948, Zh. Fiz. Khim. 22, 427.
Zel’dovich, Ya. B., 1966, J. Appl. Mech. Tech. Phys. 1, 102.
Zel’dovich, Ya. B., 1979, “The structure and stability of laminar flame at moderately large Reynolds numbers,” SA USSR Institute of Chemical Physics preprint (Chernogolovka).
Zel’dovich, Ya. B., 1981, Combust. Flame 40, 225.
Zel’dovich, Ya. B., G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, 1985, The Mathematical Theory of Combustion and Explosion (Consultants Bureau, New York).
Zel’dovich, Ya. B., and D. A. Frank-Kamenetski, 1938a, Zh. Fiz. Khim. 12, 100.
Zel’dovich, Ya. B., and D. A. Frank-Kamenetski, 1938b, Dokl. Akad. Nauk SSSR 19, 693.
Zel’dovich, Ya. B., V. B. Librovich, and A. G. Merzhanov, 1985, Priroda 2, 30.
Zel’dovich, Ya. B., and S. B. Pikelner, 1969, Zh. Éksp. Teor. Fiz. 56, 310 [Sov. Phys. JETP 29, 170 (1969].
Zel’dovich, Ya. B., O. M. Todes, 1940, Zh. Eksp. Teor. Fiz. 10, 1441.
Zenin, A. A., A. G. Merzhanov, and G. A. Nersisyan, 1980, “The thermal wave structure investigation for SHS processes. The boride synthesis as an example,” SA USSR Institute of Chemical Physics preprint (Chernogolovka).
Zenin, A. A., A. G. Merzhanov, and G. A. Nersisyan, 1981, Combust., Explos. Shock Waves 17, 79.
Zhabotinski, A. M., 1974, The Self-Oscillations of Concentration (Nauka, Moscow).
Zhukov, S. A., and V. V. Barelko, 1992, Int. J. Heat Mass Transf. 35, 759.
Zhukov, S. A., V. V. Barelko, and A. G. Merzhanov, 1979, Dokl. Akad. Nauk SSSR 240, 94 [Sov. Phys. Dokl. 24, 205 (1979)].
Zykov, V. S., 1980, Biofizika 25, 888.
Zykov, V. S., 1984, Modeling of Waves in Excitable Media (Nauka, Moscow).
Zykov, V. S., 1986, Biofizika 31, 86.
Zykov, V. S., A. S. Mikhailov, and S. C. Müller, 1997, Phys. Rev. Lett. 78, 3398.
Zykov, V. S., and O. L. Morozova, 1990, Nonlinear Biology 1, No. 2, p. 1.

[c1] Abramov, V. G., and A. G. Merzhanov, 1975, Teor. Osnovy Khim. Tekhnol. 9, 863.

[c2] Agladze, K. I., V. A. Davydov, and A. S. Mikhailov, 1987, Pis’ma Zh. Éksp. Teor. Fiz. 45, 601 [JETP Lett. 45, 767 (1987)].

[c3] Aldushin, A. P., 1977, unpublished.

[c4] Aldushin, A. P., 1984, Combust., Explos. Shock Waves 20, 310.

[c5] Aldushin, A. P., 1987, Combust., Explos. Shock Waves 23, 338.

[c6] Aldushin, A. P., 1993, Combust. Flame 94, 308.

[c7] Aldushin, A. P., A. Bayliss, B. J. Matkowsky, and V. A. Volpert, 1994, in Combustion, Detonation, Shock Waves. Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 1, p. 190.

[c8] Aldushin, A. P., and S. G. Kasparyan, 1978, “Heat-diffusional instability of the combustion stationary wave,” USSR AS Division of the Institute of Chemical Physics preprint, in Russian.

[c9] Aldushin, A. P., and S. G. Kasparyan, 1979, Dokl. Akad. Nauk SSSR 244, 67 [Sov. Phys. Dokl. 24, 29 (1979)].

[c10] Aldushin, A. P., S. G. Kasparyan, and K. G. Shkadinski, 1979, Akad. Nauk SSSR 247, 1112 [Sov. Phys. Dokl. 24, 636 (1979)].

[c11] Aldushin, A. P., V. D. Lugovoi, A. G. Merzhanov, and B. I. Khaikin, 1978, Dokl. Akad. Nauk SSSR 243, 1434 [Sov. Phys. Dokl. 23, 914 (1978)].

[c12] Aldushin, A. P., T. M. Martem’yanova, A. G. Merzhanov, and B. I. Khaikin, 1973, Combust., Explos. Shock Waves 9, 531.

[c13] Aldushin, A. P., and A. G. Merzhanov, 1977, Dokl. Akad. Nauk SSSR, Ser. Khim. 236, 1133 [Dokl. Phys. Chem. 236, 973 (1977].

[c14] Aldushin, A. P., and A. G. Merzhanov, 1987, “Theory of filtration combustion: general concepts and state-of-the-art,” USSR AS Institute of Chemical Physics preprint, in Russian.

[c15] Aldushin, A. P., A. G. Merzhanov, and B. I. Khaikin, 1972, Dokl. Akad. Nauk SSSR, Ser. Khim. 204, 1139 [Dokl. Phys. Chem. 204, 475 (1972)].

[c16] Aldushin, A. P., A. G. Merzhanov, and B. I. Khaikin, 1974, Dokl. Akad. Nauk SSSR, Ser. Khim. 235, 612 [Dokl. Phys. Chem. 235, 295 (1974)].

[c17] Aldushin, A. P., and B. S. Seplyarski, 1979, Dokl. Akad. Nauk SSSR 249, 585 [Sov. Phys. Dokl. 24, 928 (1979)].

[c18] Aldushin, A. P., Ya. B. Zel’dovich, and S. I. Khudyaev, 1979, Combust., Explos. Shock Waves 15, 705 (1979).

[c19] Aldushin, A. P., Ya. B. Zel’dovich, and B. A. Malomed, 1980, Dokl. Akad. Nauk SSSR 251, 1102 [Sov. Phys. Dokl. 25, 273 (1980)].

[c20] Aleksandrov, V. I., V. V. Osiko, A. M. Prokhorov, and V. M. Tatarintsev, 1973, Vestn. Akad. Nauk SSSR 12, 40.

[c21] Aleksandrov, V. I., V. R. Voitsitski, E. E. Lomonova, V. V. Osiko, and N. P. Khaneev, 1991, Izv. Akad. Nauk SSSR, Neorg. Mater. 27, 983.

[c22] Andronow, A. A., 1929, C. R. Acad. Sci. 189, 15.

[c23] Andronow, A. A., and E. A. Leontovich-Andronowa, 1939, Sci. Notes Gorkii Univ. No. 6, p. 3, in Russian.

[c24] Andronow, A. A., A. A. Vitt, and S. E. Khaikin, 1987, Theory of Oscillators (Dover, New York).

[c25] Anisimov, S. I., M. M. Tribelski, and Ya. G. Epelbaum, 1980, Zh. Éksp. Teor. Fiz. 78, 159 [Sov. Phys. JETP 51, 802 (1980)].

[c26] Aronson, D. G., and H. F. Weinberger, 1975, in Partial Differential Equations and Related Topics, edited by J. A. Goldstein (Springer, Heidelberg), p. 5.

[c27] Bakhman, N. N., and A. F. Belyaev, 1967, Combustion of Heterogeneous Condensed Compositions (Nauka, Moscow), in Russian.

[c28] Barelko, V. V., I. M. Barkalov, D. A. Vaganov, A. M. Zanin, and D. P. Kiryukhin, 1982, Dokl. Akad. Nauk SSSR 261, 99.

[c29] Barelko, V. V., I. M. Barkalov, V. I. Goldanskii, D. P. Kiryukhin, and A. M. Zanin, 1988, Adv. Chem. Phys. 74, 339.

[c30] Barelko, V. V., I. I. Kurochka, and A. G. Merzhanov, 1976, Dokl. Akad. Nauk SSSR, Ser. Khim. 229, 898 [Dokl. Phys. Chem. 229, 695 (1976)].

[c31] Barelko, V. V., and Yu. E. Volodin, 1973, Dokl. Akad. Nauk SSSR, Ser. Khim. 211, 1373 [Dokl. Phys. Chem. 211, 673 (1973)].

[c32] Barenblatt, G. I., 1971, unpublished.

[c33] Barenblatt, G. I., and Ya. B. Zel’dovich, 1957, Prikl. Mat. Mekh. 2, 856.

[c34] Barenblatt, G. I., and Ya. B. Zel’dovich, 1971, Usp. Mat. Nauk 26, 115 [Russ. Math. Surv. 26, 45 (1971)].

[c35] Barenblatt, G. I., Ya. B. Zel’dovich, and A. G. Istratov, 1962, Prikl. Mekh. Tekh. Fiz. 4, 66.

[c36] Bayliss, A., C. Gotlieb, B. J. Matkowsky, and M. Minkoff, 1989, J. Comput. Phys. 81, 421.

[c37] Bayliss, A., and B. J. Matkowsky, 1990, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 50, 437.

[c38] Bayliss, A., and B. J. Matkowsky, 1997, in Advances in Combustion Science: In Honor of Ya. B. Zel’dovich, edited by W. A. Sirignano, A. G. Merzhanov, and L. De Luca, Progress in Astronautics and Aeronautics, No. 173 (American Institute of Aeronautics and Astronautics, Reston, VA), p. 157.

[c39] Belyaev, A. F., 1940, Zh. Fiz. Khim. 14, 1009.

[c40] Belyaev, A. F., and L. D. Komkova, 1950, Zh. Fiz. Khim. 24, 1702.

[c41] Bénard, H., 1900, Rev. Gen. Sci. Pures Appl. 11, 1261.

[c42] Ben-Jacob, E., H. R. Brand, G. Dee, L. Kramer, and J. S. Langer, 1985, Physica D 14, 348.

[c43] Born, M., 1955, Phys. Bl. 11, 49.

[c44] Borovikov, M. B., T. A. Burovoi, U. I. Goldshleger, and A. G. Merzhanov, 1983, Dokl. Akad. Nauk SSSR 272, 327 [Sov. Phys. Dokl. 28, 758 (1983)].

[c45] Bradley, D., and C. M. Harper, 1994, Combust. Flame 99, 562.

[c46] Brazhnik, P. K., V. A. Davydov, and A. S. Mikhailov, 1986, in Kinetics and Combustion, edited by G. B. Manelis (USSR AS Institute of Chemical Physics, Chernogolovka).

[c47] Brazhnik, P. K., V. A. Davydov, and A. S. Mikhailov, 1988, Teor. Mat. Fiz. 94, 440.

[c48] Brazhnik, P. K., V. A. Davydov, V. S. Zykov, and A. S. Mikhailov, 1987, Zh. Éksp. Teor. Fiz. 93, 1725 [Sov. Phys. JETP 66, 984 (1987)].

[c49] Broida, H. P., and J. R. Pellam, 1954, Phys. Rev. 95, 845.

[c50] Buben, N. Ya., 1946, in The Collection of Works in Physical Chemistry, Additional Volume of Zh. Fiz. Khim. (USSR AS, Moscow), p. 148.

[c51] Buckmaster, J. D., 1982, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 43, 1335.

[c52] Bunkin, F. V., V. I. Konov, A. M. Prokhorov, and V. B. Fedorov, 1969, Pis’ma Zh. Eksp. Teor. Fiz. 9, 609 [JETP Lett. 9, 371 (1969)].

[c53] Bychkov, V. V., and M. A. Liberman, 1997, Phys. Rev. Lett. 78, 1371.

[c54] Campbell, C., and D. W. Woodhead, 1926, J. Chem. Soc. 6, 3010.

[c55] Casten, R. C., H. Cohen, and P. A. Lagerstrom, 1975, Appl. Math. (Germany) 32, 305.

[c56] Castets, V., E. Dulos, J. Boissonade, and P. DeKepper, 1990, Phys. Rev. Lett. 64, 2953.

[c57] Chapman, D. L., 1899, Philos. Mag. 47, 90.

[c58] Clavin, P., 1985, Prog. Energy Combust. Sci. 11, 1.

[c59] Copeland, J., 1966, J. Appl. Phys. 37, 3602.

[c60] Cordoner, J. A., and L. D. Schmidt, 1989, Chem. Eng. Sci. 44, 1983.

[c61] Cox, M. P., G. Ertl, and R. Imbihl, 1985, Phys. Rev. Lett. 54, 1725.

[c62] Cross, M. C., and P. C. Hohenberg, 1993, Rev. Mod. Phys. 65, 851.

[c63] Darrieus, C., 1944, J. Phys. Chem. 88, 641.

[c64] Davies, W., 1934, Philos. Mag. 17, 253.

[c65] Davydov, V. A., and A. S. Mikhailov, 1987, Nonlinear Waves. Structures and Bifurcations (Nauka, Moscow).

[c66] Davydov, V. A., and V. S. Zykov, 1989, Zh. Éksp. Teor. Fiz. 95, 139 [Sov. Phys. JETP 68, 80 (1989)].

[c67] Davydov, V. A., V. S. Zykov, and A. S. Mikhailov, 1991, Usp. Fiz. Nauk 161, 45 [Sov. Phys. Usp. 34, 665 (1991)].

[c68] Davydov, V. A., V. S. Zykov, A. S. Mikhailov, and P. K. Brazhnik, 1988, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 31, 574.

[c69] Döring, W., 1943, Ann. Phys. (Leipzig) 43, 421.

[c70] Drozdov, N. P., and Ya. B. Zel’dovich, 1943, Zh. Fiz. Khim. 17, 134.

[c71] Dvoryankin, A. V., and A. G. Strunina, 1991, Combust. Explos. Shock Waves 27, 86.

[c72] el-Hamdi, M., M. Gorman, and K. Robbins, 1993, Combust. Sci. Technol. 94, 87.

[c73] Ertl, G., 1991, Science 254, 1750.

[c74] Feigenbaum, M. I., 1978, J. Stat. Phys. 19, 25.

[c75] Feigenbaum, M. I., 1979, J. Stat. Phys. 21, 669.

[c76] Field, R. J., and M. Burger, 1985, Eds., Oscillations and Traveling Waves in Chemical Systems (Wiley, New York).

[c77] Fife, P. C., 1985, J. Stat. Phys. 39, 687.

[c78] Filyand, L., G. I. Sivashinsky, and M. L. Frankel, 1994, Physica D 72, 110.

[c79] Fink, T., R. Imbihl, and G. Ertl, 1990, J. Chem. Phys. 91, 5002.

[c80] Fisher, R. A., 1937, Ann. Eugenics 7, 355.

[c81] Frank-Kamenetski, D. A., 1939a, Zh. Tekh. Fiz. 9, 1457.

[c82] Frank-Kamenetski, D. A., 1939b, Zh. Fiz. Khim. 13, 738.

[c83] Frank-Kamenetski, D. A., 1969, Diffusion and Heat Transfer in Chemical Kinetics (Plenum, New York).

[c84] Frank-Kamenetski, D. A., 1988.

[c85] Gaponov-Grekhov, A. V., and M. I. Rabinovich, 1979, Usp. Fiz. Nauk 128, 579 [Sov. Phys. Usp. 22, 590 (1979)].

[c86] Garbey, M., H. A. Kaper, G. K. Leaf, and B. J. Matkowsky, 1989, Appl. Math. (Germany) 47, 631.

[c87] Gibbs, J. W., 1961, The Scientific Papers (Dover, New York), Vol. 1, p. 56.

[c88] Gorman, M., M. el-Hamdi, and K. A. Robbins, 1994, Combust. Sci. Technol. 98, 79.

[c89] Goryachev, A., and R. Kapral, 1996, Phys. Rev. Lett. 76, 1619.

[c90] Gostintsev, Yu. A., A. G. Istratov, and Yu. V. Shulenin, 1989, Combust., Explos. Shock Waves 24, 70.

[c91] Grachev, V. V., and E. N. Rumanov, 1981, Dokl. Akad. Nauk SSSR, Ser. Khim. 258, 1147.

[c92] Grassberger, P., and I. Procaccia, 1983, Phys. Rev. Lett. 50, 346.

[c93] Grindrod, P., M. A. Lewis, and J. D. Murray, 1992, Proc. R. Soc. London, Ser. A 433, 151.

[c94] Gunn, J. B., 1963, Solid State Commun. 1, 88.

[c95] Gurevich, A. Vl., and R. G. Mints, 1984, Usp. Fiz. Nauk 142, 61 [Sov. Phys. Usp. 27, 19 (1984)].

[c96] Gurevich, A. Vl., and R. G. Mints, 1987, Rev. Mod. Phys. 59, 941.

[c97] Hagberg, A., and E. Meron, 1994, Chaos 4, 477.

[c98] Haken, H., 1978, Synergetics. An Introduction (Springer, Berlin).

[c99] Hopf, E., 1942, Berichte der Mathematisch-Physikalischen Klass Sächsichen Akademie der Weissenschaften zu Leipzig 94, 1.

[c100] Inge, L. D., N. N. Semenoff, and A. F. Walther, 1925, Z. Phys. 32, 373.

[c101] Istratov, A. G., 1985, unpublished.

[c102] Ivleva, T. P., A. G. Merzhanov, and K. G. Shkadinski, 1978, Dokl. Akad. Nauk SSSR 239, 1086 [Sov. Phys. Dokl. 23, 255 (1978)].

[c103] Jouget, E., 1917, Mecanique des explosifs (Delagrave, Paris).

[c104] Joulin, G., and P. Clavin, 1979, Combust. Flame 35, 139.

[c105] Kadomtsev, B. B., 1976, Collective Phenomena in Plasma (Nauka, Moscow).

[c106] Kalafati, Yu. D., I. A. Serbinov, and L. A. Ryabova, 1979, Pis’ma Zh. Éksp. Teor. Fiz. 29, 607 [JETP Lett. 29, 583 (1979)].

[c107] Karpman, V. I., 1979, Zh. Éksp. Teor. Fiz. 77, 114 [Sov. Phys. JETP 50, 58 (1979)].

[c108] Keener, J. P., and J. J. Tyson, 1991, Physica D 53, 151.

[c109] Keldysh, L. V., 1964a, Zh. Eksp. Teor. Fiz. 47, 1515.

[c110] Keldysh, L. V., 1964b, Vestnik Akad. Nauk SSSR 4, 32.

[c111] Keldysh, L. V., 1985, Priroda (Moscow) 9, 23.

[c112] Keldysh, L. V., and S. G. Tikhodeev, 1986, Zh. Éksp. Teor. Fiz. 91, 78 [Sov. Phys. JETP 64, 45 (1986)].

[c113] Kerner, B. S., and V. V. Osipov, 1989, Usp. Fiz. Nauk 157, 201 [Sov. Phys. Usp. 32, 101 (1989)].

[c114] Kerner, B. S., and V. V. Osipov, 1991, Avtosolitony (Nauka, Moscow).

[c115] Kessler, D., and R. Kupferman, 1997, Physica D 105, 207.

[c116] Khaikin, B. I., 1969, unpublished.

[c117] Khaikin, B. I., A. K. Filonemko, and S. I. Khudyaev, 1968, Combust., Explos. Shock Waves 4, 343.

[c118] Khaikin, B. I., and A. G. Merzhanov, 1967, Dokl. Akad. Nauk SSSR, Ser. Khim. 173, 1382 [Dokl. Phys. Chem. 173, 295 (1967)].

[c119] Kokochashvili, V. I., 1942, Kandidate Dissertation, SA USSR Institute of Chemical Physics, Tbilisi University.

[c120] Kolmogorov, A. N., I. G. Petrovski, and N. S. Piskunov, 1937, Bull. Moscow State Univ., Ser. Series A 1, 1.

[c121] Kompaneets, A. S., and V. Ts. Gurovich, 1966, Biofizika 11, 913.

[c122] Krylov, N. S., 1950, The Works in Statistical Physics Substantiation (Publishers SA USSR, Moscow/Leningrad).

[c123] Kudryashov, A. V., and V. G. Yakhno, 1978, in Dynamics of Biological Systems, No. 2, edited by V. I. Krinski (SA USSR Institute of Applied Physics, Gorkii), p. 45.

[c124] Kuhl, A. L., R. E. Ferguson, K.-V. Chien, J. P. Collins, and A. K. Oppenheim, 1994, in Combustion, Detonation, Shock Waves. Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 1, p. 181.

[c125] Kupervasser, D., Z. Olami, and I. Procaccia, 1996, Phys. Rev. Lett. 76, 146.

[c126] Kuramoto, Y., and T. Tsuzuki, 1976, Prog. Theor. Phys. 55, 356.

[c127] Kutateladze, S. S., Al. A. Borisov, A. A. Borisov, and V. E. Nakoryakov, 1980, Dokl. Akad. Nauk SSSR 252, 595 [Sov. Phys. Dokl. 25, 392 (1980)].

[c128] Landau, L. D., 1944a, Zh. Eksp. Teor. Fiz. 14, 240.

[c129] Landau, L. D., 1944b, Dokl. Akad. Nauk SSSR 44, 339.

[c130] Landau, L. D., and E. M. Lifshitz, 1978, Statistical Physics (Pergamon, Oxford).

[c131] Landau, L. D., and E. M. Lifshitz, 1987, Fluid Mechanics (Pergamon, Oxford).

[c132] Langmuir, I., and K. T. Compton, 1931, Rev. Mod. Phys. 3, 191.

[c133] Lee, K. G., W. D. McCormik, Q. Ouyang, and H. L. Swinney, 1993, Science 261, 192.

[c134] Lengyel, L., and I. R. Epstein, 1991, Science 251, 650.

[c135] Lewis, B., and G. von Elbe, 1934, J. Chem. Phys. 2, 537.

[c136] Lewis, B., and G. von Elbe, 1961, Combustion, Flames and Explosions of Gases (Academic, New York).

[c137] London, H., 1939, Proc. R. Soc. London, Ser. A 171, 484.

[c138] Lorenz, E., 1963, J. Atmos. Sci. 20, 130.

[c139] Loskutov, A. Yu., and A. S. Mikhailov, 1990, Introduction to Synergetics (Nauka, Moscow).

[c140] Lugovoi, V. N., and A. M. Prokhorov, 1973, Usp. Fiz. Nauk 111, 203 [Sov. Phys. Usp. 16, 285 (1973)].

[c141] Makhviladze, G. M., and B. V. Novozhilov, 1971, Prikl. Mekh. Tekh. Fiz. 5, 51.

[c142] Makshantsev, B. I., and V. M. Finkelberg, 1974, Dokl. Akad. Nauk SSSR 217, 1281 [Sov. Phys. Dokl. 19, 516 (1974)].

[c143] Maksimov, E. I., 1963, Zh. Fiz. Khim. 37, 1129 [Russ. J. Phys. Chem. 37, 595 (1963)].

[c144] Maksimov, E. I., and A. G. Merzhanov, 1966, Combust., Explos. Shock Waves 2, 25.

[c145] Maksimov, E. I., and K. G. Shkadinski, 1971, Combust., Explos. Shock Waves 7, 392.

[c146] Maksimov, Yu. M., A. G. Merzhanov, A. T. Pak, and M. N. Kuchkin, 1981, Combust., Explos. Shock Waves 17, 393.

[c147] Maksimov, Yu. M., A. T. Pak, G. V. Lavrenchuk, D. S. Naiborodenko, and A. G. Merzhanov, 1979, Combust., Explos. Shock Waves 15, 415.

[c148] Malomed, B. A., and E. N. Rumanov, 1985, Dokl. Akad. Nauk SSSR 284, 1355 [Sov. Phys. Dokl. 30, 872 (1985)].

[c149] Margolin, A. D., and P. F. Pokhil, 1963, Dokl. Akad. Nauk SSSR 150, 1304.

[c150] Margolin, A. D., and A. V. Shmelev, 1978, Combust., Explos. Shock Waves 14, 52.

[c151] Margolis, S. B., 1991, Prog. Energy Combust. Sci. 17, 135.

[c152] Markstein, G. H., 1949, J. Chem. Phys. 17, 428.

[c153] Markstein, G. H., 1951, J. Aeronaut. Sci. 18, 199.

[c154] Martin, P. C., 1965, in Low Temperature Physics, edited by J. G. Daunt, F. G. Milford, and M. Yagub (Plenum, New York), p. 9.

[c155] Mashkinov, L. B., Yu. E. Volodin, V. V. Barelko, and L. N. Gal’perin, 1975, Prib. Tekh. Éksp. 3, 140 [Instrum. Exp. Tech. 18, 965 (1975)].

[c156] Matkowsky, B. J., L. J. Putnick, and G. I. Sivashinsky, 1980, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 38, 489.

[c157] McCall, S. L., and E. L. Halm, 1969, Phys. Rev. 183, 457.

[c158] McIntosh, A. C., 1985, J. Fluid Mech. 161, 43.

[c159] Meron, E., 1992, Phys. Rep. 218, 1.

[c160] Meron, E., R. Pelce, 1988, Phys. Rev. Lett. 60, 1980.

[c161] Merzhanov, A. G., 1960, Dokl. Akad. Nauk SSSR 135, 1439.

[c162] Merzhanov, A. G., 1969, Combust. Flame 13, 143.

[c163] Merzhanov, A. G., 1977, Dokl. Akad. Nauk SSSR, Ser. Khim. 233, 1130 [Dokl. Phys. Chem. 233, 430 (1977)].

[c164] Merzhanov, A. G., 1981, Arch. Combust. 191, 23.

[c165] Merzhanov, A. G., 1983, in Physical Chemistry. Modern Problems, edited by Ya. M. Kolotyrkin (Khimia, Moscow), p. 5.

[c166] Merzhanov, A. G., V. V. Barelko, I. I. Kurochka, and K. G. Shkadinski, 1975, Dokl. Ak. Nauk SSSR, Ser. Khim. 221, 1114 [Dokl. Phys. Chem. 221, 366 (1975)].

[c167] Merzhanov, A. G., and I. P. Borovinskaya, 1972, Dokl. Akad. Nauk SSSR, Ser. Khim. 204, 366 [Dokl. Phys. Chem. 204, 475 (1972)].

[c168] Merzhanov, A. G., I. P. Borovinskaya, and Yu. E. Volodin, 1972, Dokl. Akad. Nauk SSSR, Ser. Khim. 206, 905 [Dokl. Phys. Chem. 206, 805 (1972)].

[c169] Merzhanov, A. G., A. V. Dvoryankin, and A. G. Strunina, 1982, Dokl. Akad. Nauk SSSR, Ser. Khim. 267, 869 [Dokl. Phys. Chem. 267, 979 (1982)].

[c170] Merzhanov, A. G., and A. K. Filonenko, 1963, Dokl. Akad. Nauk SSSR, Ser. Khim. 152, 143 [Dokl. Phys. Chem. 152, 769 (1963)].

[c171] Merzhanov, A. G., A. K. Filonenko, and I. P. Borovinskaya, 1973, Dokl. Akad. Nauk SSSR, Ser. Khim. 208, 905 [Dokl. Phys. Chem. 208, 122 (1973)].

[c172] Merzhanov, A. G., and B. I. Khaikin, 1988, Prog. Energy Combust. Sci. 14, 1.

[c173] Merzhanov, A. G., V. A. Raduchev, and E. N. Rumanov, 1980, Dokl. Akad. Nauk SSSR 253, 330 [Sov. Phys. Dokl. 25, 565 (1980)].

[c174] Merzhanov, A. G., and E. N. Rumanov, 1987, Usp. Fiz. Nauk 151, 553 [Sov. Phys. Usp. 30, 293 (1987)].

[c175] Merzhanov, A. G., E. N. Rumanov, and B. I. Khaikin, 1972, Prikl. Mekh. Tekh. Fiz. 6, 99.

[c176] Michelson, V. A., 1889, Ann. der Physik. und Chemie. 37, 1.

[c177] Mott, N. F., 1990, Metal-Insulator Transitions (Taylor & Francis, London).

[c178] Mulholland, A. J., and J. Gomatam, 1996, Physica D 89, 329.

[c179] Muñuzuri, A. P., V. Pérez-Villar, and M. Markus, 1997, Phys. Rev. Lett. 79, 1941.

[c180] Murray, J. D., 1989, Mathematical Biology (Springer, Berlin).

[c181] Nekrasov, E. A., and A. M. Timokhin, 1984, Combust., Explos. Shock Waves 20, 256.

[c182] Nicolis, G., and I. Prigogine, 1977, Self-Organization in Non-Equilibrium Systems (Wiley, New York).

[c183] Novozhilov, B. V., 1961, Dokl. Akad. Nauk SSSR, Ser. Khim. 141, 151 [Dokl. Phys. Chem. 141, 836 (1961)].

[c184] Novozhilov, B. V., 1970, Prikl. Mekh. Tekh. Fiz. 4, 73 [J. Appl. Mech. Tech. Phys. 4, (1970)].

[c185] Novozhilov, B. V., 1973, Non-Stationary Combustion of Solid Rocket Fuel (Nauka, Moscow).

[c186] Novozhilov, B. V., 1992a, Dokl. Akad. Nauk SSSR, Ser. Khim. 326, 485 [Dokl. Phys. Chem. 326, 523 (1992)].

[c187] Novozhilov, B. V., 1992b, Pure Appl. Chem. 64, 955.

[c188] Novozhilov, B. V., 1993, Pure Appl. Chem. 65, 309.

[c189] Novozhilov, B. V., and V. S. Posvyanski, 1973, Combust., Explos. Shock Waves 9, 191.

[c190] Onsager, L., 1931, Phys. Rev. 37, 405.

[c191] Ortoleva, P., and J. Ross, 1975, J. Chem. Phys. 63, 3398.

[c192] Ouyang, Q., V. Castets, J. Boissonade, J. S. Roux, P. DeKepper, and H. L. Swinney, 1991, J. Chem. Phys. 95, 351.

[c193] Ouyang, Q., and H. L. Swinney, 1991, Nature (London) 352, 610.

[c194] Patashinski, A. Z., and V. L. Pokrovski, 1979, The Fluctuation Theory of Phase Transitions (Pergamon, Oxford).

[c195] Pearlman, H. G., 1997, Combust. Flame 109, 382.

[c196] Pearlman, H. G., and P. D. Ronney, 1994, Phys. Fluids 6, 4009.

[c197] Pearson, J. E., 1993, Science 261, 189.

[c198] Pertsov, A. M., A. V. Panfilov, and E. A. Ermakov, 1984, Physica D 14, 311.

[c199] Peshkov, V. P., 1956, Zh. Eksp. Teor. Fiz. 30, 581.

[c200] Petersen, B. E., and H. W. Emmons, 1961, Phys. Fluids 4, 456.

[c201] Petrov, V., Q. Ouyang, and H. L. Swinney, 1997, Nature (London) 388, 655.

[c202] Philippov, G., and D. Luss, 1993, Chem. Eng. Sci. 48, 2313.

[c203] Pismen, L. M., and A. A. Nepomnyashchy, 1992, Physica D 54, 183.

[c204] Pokhil, P. F., 1953, J. Combustion Explosion Physics 2, 18, in Russian.

[c205] Polak, L. S., and A. S. Mikhailov, 1983, Self-Organization in Non-Equilibrium Physical-Chemical Systems (Nauka, Moscow).

[c206] Prandtl, L., 1904, Phys. Z. 5, 599.

[c207] Rachinski, V. V., 1964, Introduction to General Theory of Sorption Dynamics and Chromatography (Nauka, Moscow).

[c208] Raizer, Yu. P., 1974 Laser Spark and Propagation of Discharges (Nauka, Moscow).

[c209] Raizer, Yu. P., 1980, Usp. Fiz. Nauk 432, 549 [Sov. Phys.—Usp 23, 789 (1980)].

[c210] Rayleigh, J. W. S. (Lord), 1916, Philos. Mag. 92, 529.

[c211] Rehberg, I., S. Rasemat, J. Fineberg, M. de la Torre Juarez, and V. Steinberg, 1988, Phys. Rev. Lett. 61, 2449.

[c212] Reynolds, O., 1883, Philos. Trans. R. Soc. London 174, 935.

[c213] Romanovski, Yu. M., N. V. Stepanova, and D. S. Chernavski, 1984, Mathematical Biophysics (Nauka, Moscow).

[c214] Ronney, P. D., B. D. Haslam, and N. O. Rhys, 1995, Phys. Rev. Lett. 74, 3804.

[c215] Ross, J., S. C. Muller, and C. Vidal, 1988, Science 240, 460.

[c216] Ruiz-Villarreal, M., M. Gomez-Gesteira, and V. Perez-Villar, 1997, Phys. Rev. Lett. 78, 779.

[c217] Rumanov, E. N., 1978, Zh. Éksp. Teor. Fiz. 74, 1422 [Sov. Phys. JETP 47, 744 (1978)].

[c218] Rumanov, E. N., 1982a, “The melting wave in porous medium,” SA USSR Institute of Chemical Physics preprint.

[c219] Rumanov, E. N., 1982b, Pis’ma Zh. Éksp. Teor. Fiz. 35, 286 [JETP Lett. 35, 354 (1982)].

[c220] Rumanov, E. N., 1994, in Combustion, Detonation, Shock Waves, Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 2, p. 307.

[c221] Rumanov, E. N., and B. I. Khaikin, 1982, Combust., Explos. Shock Waves 18, 631.

[c222] Rumanov, E. N., and A. G. Merzhanov, 1996, Dokl. Akad. Nauk 347, 334 [Sov. Phys. Dokl. 347, 105 (1996)].

[c223] Scelkin, K. I., and Ya. K. Troshin, 1963, The Gas Dynamics of Combustion (Fizmatgiz, Moscow).

[c224] Scerbak, S. V., 1983, Combust., Explos. Shock Waves 19, 905.

[c225] Schenk, C. P., M. Or-Guil, M. Bode, and H.-G. Purwins, 1997, Phys. Rev. Lett. 78, 3781.

[c226] Schrödinger, E., 1967, What is Life? The Physical Aspect of the Living Cell (Cambridge University, Cambridge, UK).

[c227] Scott, A. G., 1970, Active and Nonlinear Wave Propagation in Electronics (Wiley, New York).

[c228] Semenoff, N. N., 1928, Phys. Z. 48, 571.

[c229] Shkadinski, K. G., B. I. Khaikin, and A. G. Merzhanov, 1971, Combust., Explos. Shock Waves 7, 15.

[c230] Shkiro, V. M., and G. A. Nersesyan, 1978, Combust., Explos. Shock Waves 14, 149.

[c231] Shklovski, V. A., 1982, Zh. Éksp. Teor. Fiz. 82, 536 [Sov. Phys. JETP 55, 311 (1982)].

[c232] Shklovski, V. A., 1994, in Combustion, Detonation, Shock Waves. Proceedings of the Zel’dovich Memorial, edited by A. G. Merzhanov and S. M. Frolov (Russian Section of the Combustion Institute, Moscow), Vol. 1, p. 346.

[c233] Showalter, K., R. M. Noyes, and H. Turner, 1979, J. Am. Chem. Soc. 101, 7463.

[c234] Sigov, A. S., and V. R. Chechetkin, 1985, Dokl. Akad. Nauk SSSR 285, 360 [Sov. Phys. Dokl. 30, 979 (1985)].

[c235] Sivashinsky, G. I., 1977a, Acta Astron. 4, 1177.

[c236] Sivashinsky, G. I., 1977b, Combust. Sci. Technol. 15, 137.

[c237] Sivashinsky, G. I., 1983, Annu. Rev. Fluid Mech. 15, 179.

[c238] Skinner, J. S., and H. L. Swinney, 1990, Physica D 45, 287.

[c239] Skripov, V. P., and A. V. Skripov, 1979, Usp. Fiz. Nauk 128, 193 [Sov. Phys. Usp. 22, 389 (1979)].

[c240] Strunin, D. V., A. G. Strunina, E. N. Rumanov, and A. G. Merzhanov, 1994, Phys. Lett. A 192, 361.

[c241] Strunina, A. G., A. V. Dvoryankin, and A. G. Merzhanov, 1983, Combust., Explos. Shock Waves 19, 158.

[c242] Sukhorukov, A. P., R. I. Khokhlov, and E. N. Shumilov, 1971, Pis’ma Zh. Éksp. Teor. Fiz. 14, 129 [JETP Lett. 14, 161 (1971)].

[c243] Taffanel, J., 1913, C. R. Bull. Soc. Chim. 157, 714.

[c244] Taffanel, J., 1914, C. R. Bull. Soc. Chim. 158, 42.

[c245] Temkin, D. E., 1989, Kristallografia 34, 807 [Sov. Phys. Crystallogr. 34, 483 (1989)].

[c246] Thom, R., 1975, Structural Stability and Morphogenesis (Benjamin, Reading, MA).

[c247] Thual, O., U. Frisch, and M. Henon, 1985, J. Phys. (Paris) 46, 1485.

[c248] Tribelskii, M. I., 1997, Usp. Fiz. Nauk 167, 167.

[c249] Tsvet, M. S., 1903, in Trudy Warshavskogo obscestva estestvoispytatelei, Otdelenie Biologii 14, 20, in Russian.

[c250] Turing, A. M., 1952, Philos. Trans. R. Soc. London, Ser. B 237, 37.

[c251] Tyson, J. J., and P. Keener, 1988, Physica D 32, 327.

[c252] Van der Pol, B., 1920, Radio Rev. 1, 701.

[c253] Van Dyke, M., 1964, Fluid Mechanics Perturbation Methods (Academic, New York).

[c254] Vasil’ev, V. A., Yu. M. Romanovski, D. S. Chernavskii, and V. G. Yakhno, 1987, Autowave Processes in Kinetic Systems (Reidel, Dordrecht).

[c255] Vasil’ev, V. A., Yu. M. Romanovski, and V. G. Yakhno, 1979, Usp. Fiz. Nauk 128, 625 [Sov. Phys. Usp. 22, 615 (1979)].

[c256] Volkov, A. F., and S. M. Kogan, 1968, Usp. Fiz. Nauk 96, 633 [Sov. Phys. Usp. 11, 881(1968)].

[c257] Volkov, A. F., and S. M. Kogan, 1974, Pis’ma Zh. Éksp. Teor. Fiz. 19, 9 [JETP Lett. 19, 4 (1974)].

[c258] Volpert, V. A., A. I. Volpert, and A. G. Merzhanov, 1982a, Dokl. Akad. Nauk SSSR, Ser. Khim. 262, 642 [Dokl. Phys. Chem. 262, 55 (1982)].

[c259] Volpert, V. A., A. I. Volpert, and A. G. Merzhanov, 1982b, Dokl. Akad. Nauk SSSR, Ser. Khim. 263, 918 [Dokl. Phys. Chem. 263, 239 (1982)].

[c260] von Neumann, J., 1942, Theory of Detonation Waves, O. S. R. D. Report No. 238, 549.

[c261] Voronkov, V. G., and N. N. Semenoff, 1939, Zh. Fiz. Khim. 13, 1635.

[c262] Weber, R. O., C. N. Mercer, H. S. Sidhu, and B. F. Gray, 1997, Proc. R. Soc. London, Ser. A 453, 1105.

[c263] Wiener, N., and A. Rosenblueth, 1946, Archives Instutite Cardiology Mexico 16, 202.

[c264] Winfree, A. T., 1972, Science 175, 634.

[c265] Winfree, A. T., 1991, Chaos 1, 303.

[c266] Winfree, A. T., and W. Janke, 1989, J. Phys. Chem. 93, 2823.

[c267] Wood, P. M., and J. Ross, 1985, J. Chem. Phys. 82, 1924.

[c268] Zabusky, M. J., and M. D. Kruskal, 1965, Phys. Rev. Lett. 15, 240.

[c269] Zaidel, R. M., and Ya. B. Zel’dovich, 1962, J. Appl. Mech. Tech. Phys. 4, 28.

[c270] Zaslavski, G. M., and R. Z. Sagdeev, 1988, Introduction to Nonlinear Physics. From Pendulum to Turbulency and Chaos (Nauka, Moscow).

[c271] Zel’dovich, Ya. B., 1940, Zh. Eksp. Teor. Fiz. 10, 542.

[c272] Zel’dovich, Ya. B., 1941a, Zh. Tekh. Fiz. 11, 493.

[c273] Zel’dovich, Ya. B., 1941b, Zh. Eksp. Teor. Fiz. 11, 159.

[c274] Zel’dovich, Ya. B., 1942, Zh. Eksp. Teor. Fiz. 12, 498.

[c275] Zel’dovich, Ya. B., 1944, The Theory of Combustion and Detonation of Gases (Publishers SA USSR, Moscow).

[c276] Zel’dovich, Ya. B., 1946, Zh. Eksp. Teor. Fiz. 16, 363.

[c277] Zel’dovich, Ya. B., 1948, Zh. Fiz. Khim. 22, 427.

[c278] Zel’dovich, Ya. B., 1966, J. Appl. Mech. Tech. Phys. 1, 102.

[c279] Zel’dovich, Ya. B., 1979, “The structure and stability of laminar flame at moderately large Reynolds numbers,” SA USSR Institute of Chemical Physics preprint (Chernogolovka).

[c280] Zel’dovich, Ya. B., 1981, Combust. Flame 40, 225.

[c281] Zel’dovich, Ya. B., G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, 1985, The Mathematical Theory of Combustion and Explosion (Consultants Bureau, New York).

[c282] Zel’dovich, Ya. B., and D. A. Frank-Kamenetski, 1938a, Zh. Fiz. Khim. 12, 100.

[c283] Zel’dovich, Ya. B., and D. A. Frank-Kamenetski, 1938b, Dokl. Akad. Nauk SSSR 19, 693.

[c284] Zel’dovich, Ya. B., V. B. Librovich, and A. G. Merzhanov, 1985, Priroda 2, 30.

[c285] Zel’dovich, Ya. B., and S. B. Pikelner, 1969, Zh. Éksp. Teor. Fiz. 56, 310 [Sov. Phys. JETP 29, 170 (1969].

[c286] Zel’dovich, Ya. B., O. M. Todes, 1940, Zh. Eksp. Teor. Fiz. 10, 1441.

[c287] Zenin, A. A., A. G. Merzhanov, and G. A. Nersisyan, 1980, “The thermal wave structure investigation for SHS processes. The boride synthesis as an example,” SA USSR Institute of Chemical Physics preprint (Chernogolovka).

[c288] Zenin, A. A., A. G. Merzhanov, and G. A. Nersisyan, 1981, Combust., Explos. Shock Waves 17, 79.

[c289] Zhabotinski, A. M., 1974, The Self-Oscillations of Concentration (Nauka, Moscow).

[c290] Zhukov, S. A., and V. V. Barelko, 1992, Int. J. Heat Mass Transf. 35, 759.

[c291] Zhukov, S. A., V. V. Barelko, and A. G. Merzhanov, 1979, Dokl. Akad. Nauk SSSR 240, 94 [Sov. Phys. Dokl. 24, 205 (1979)].

[c292] Zykov, V. S., 1980, Biofizika 25, 888.

[c293] Zykov, V. S., 1984, Modeling of Waves in Excitable Media (Nauka, Moscow).

[c294] Zykov, V. S., 1986, Biofizika 31, 86.

[c295] Zykov, V. S., A. S. Mikhailov, and S. C. Müller, 1997, Phys. Rev. Lett. 78, 3398.

[c296] Zykov, V. S., and O. L. Morozova, 1990, Nonlinear Biology 1, No. 2, p. 1.

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