- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Propagation of desynchronous disturbances in synchronized chaotic one-way coupled map lattices

Huaping Lü1,2 and Gang Hu3,1,4

  • 1Department of Physics, Beijing Normal University, Beijing 100875, China
  • 2Department of Physics, Xuzhou Normal University, Xuzhou 221009, China
  • 3China Center for Advanced Science and Technology (CCAST) (World Laboratory), P.O. Box 8730, Beijing 100080, China
  • 4The Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing Normal University, Beijing 100875, China

PDF

Phys. Rev. E 69, 036212 – Published 31 March, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.036212

Abstract

Propagations of desynchronous perturbations in synchronization processes of spatiotemporal chaos are investigated by considering chaotic one-way coupled map lattices. Under large coupling approximation the desynchronous area in time space is analytically calculated, based on the concepts of comoving Lyapunov exponent and absolute largest Lyapunov exponent. The ideas used in this paper are expected to be applicable to synchronizations of spatiotemporally chaotic systems of coupled maps and coupled oscillators with convective instability.

View figure in article

References (24)

  1. L.M. Pecora and T.L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
  2. E. Ott, C. Grebogi, and J.A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
  3. R. Roy, T.W. Murphy, Jr., T.D. Maier, Z. Gills, and E.R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
  4. Q.A. Johnson, M. Locher, and E.R. Hunt, Phys. Rev. E 51, R1625 (1995).
  5. G. Hu and Z.L. Qu, Phys. Rev. Lett. 72, 68 (1994).
  6. A. Aemengual, E. Hernadez-Garcia, R. Montagne, and M. San Miguel, Phys. Rev. Lett. 78, 4379 (1997).
  7. L. Kocarev, U. Parlitz, T. Stojnovski, and P. Janjic, Phys. Rev. E 56, 1238 (1997).
  8. M. Ali and J.Q. Fang, Phys. Rev. E 55, 5285 (1997).
  9. S. Sinha, Phys. Rev. E 66, 016209 (2002).
  10. J. Garcia-Ojalvo and R. Roy, Phys. Rev. Lett. 86, 5204 (2001).
  11. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, 2001).
  12. S. Boccaletti, J. Kurths, G. Osipov, D.L. Valladares, and C.S. Zhou, Phys. Rep. 366, 1 (2002).
  13. D. Auerbach, Phys. Rev. Lett. 72, 1184 (1992).
  14. J.H. Xiao, G. Hu, and Z.L. Qu, Phys. Rev. Lett. 77, 4162 (1996).
  15. N. Parekh, S. Parthasarathy, and S. Sinha, Phys. Rev. Lett. 81, 1401 (1998).
  16. Y. Jiang, and P. Parmananda, Phys. Rev. E 57, 4135 (1998).
  17. K. Kaneko, Phys. Rev. Lett. 65, 1391 (1990).
  18. F.H. Willeboordse and K. Kaneko, Physica D 86, 428 (1995).
  19. K. Konishi, H. Kokame, and K. Hirata, Phys. Lett. A 263, 307 (1999).
  20. I.S. Aranson, L. Aranson, L. Kramer, and A. Weber, Phys. Rev. A 46, R2995 (1992).
  21. I. Aranson, H. Levine, and L. Tsimring, Phys. Rev. Lett. 72, 2561 (1994).
  22. G. Hu, J.H. Xiao, and J.H. Gao, Phys. Rev. E 62, R3043 (2000).
  23. S.H. Wang, J.Y. Kuang, J.H. Li, Y.L. Luo, H.P. Lu, and G. Hu, Phys. Rev. E 66, 065202 (2002).
  24. S.H. Wang, W.P. Ye, H.P. Lu, J.Y. Kuang, J.H. Li, Y.L. Luo, and G. Hu, Commun. Theor. Phys. 40, 57 (2003).

Outline

Information

Phys. Rev. E 69, 036212– Published 31 March, 2004
  • Received 18 October 2003

© 2004 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation