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Applicability of time-average moiré techniques for chaotic oscillations
Phys. Rev. E 76, 036208 – Published 18 September, 2007
DOI: https://doi.org/10.1103/PhysRevE.76.036208
Abstract
Applicability of time-average moiré techniques for chaotic oscillations is analyzed in this paper. Envelope function characterizing the rate of convergence of time-averaged color intensity is derived. A study of the relationship among Lyapunov exponents and gray scale color intensity provides insight into the process of chaotic contrast modulation and confirms that chaotic oscillations do not produce time-average moiré fringes.
Article Text
References (24)
- R. Neubecker and O. Jakoby, Phys. Rev. E 67, 066221 (2003).
- A. S. Kobayashi, Handbook on Experimental Mechanics, 2nd ed. (SEM, Bethel, 1993).
- D. Post, B. Han, and P. Ifju, High Sensitivity Moiré: Experimental Analysis for Mechanics and Materials (Springer Verlag, Berlin, 1997).
- C. R. Schultheisz and W. G. Knauss, Opt. Lasers Eng. 20, 283 (1994).
- P. Verleysen and J. Degrieck, Int. J. Impact Eng. 30, 239 (2004).
- C. M. Liu and L. W. Chen, Ultramicroscopy 101, 173 (2004).
- F. L. Dai and Z. Y. Wang, Opt. Lasers Eng. 31, 191 (1999).
- X. Huimin, W. Guotao, D. Fulong, Z. Guangjun, L. Xingfu, and Z. Fangju, and X. Aiming, J. Mater. Process. Technol. 83, 159 (1998).
- J. E. Field, S. M. Walley, W. G. Proud, H. T. Goldrein, and C. R. Siviour, Int. J. Impact Eng. 30, 725 (2004).
- G. D’Alessandro, F. Papoff, E. Louvergneaux, and P. Glorieux, Phys. Rev. E 69, 066212 (2004).
- M. Ragulskis, L. Ragulskis, and R. Maskeliunas, Exp. Tech. 28, 27 (2004).
- M. Ragulskis, R. Maskeliunas, L. Ragulskis, and V. Turla, Opt. Lasers Eng. 43, 951 (2005).
- R. C. Hilborn, Chaos and Nonlinear Dynamics (Oxford University Press, Norfolk, 2000).
- O. V. Gendelman, E. Gourdon, and C. H. Lamarque, J. Sound Vib.294, 651 (2006).
- J. Isohatala, K. N. Alekseev, L. T. Kurki, and P. Pietilainen, Phys. Rev. E 71, 066206 (2005).
- P. Jacquod, Phys. Rev. E 72, 056203 (2005).
- A. Ghosh and R. Ramaswamy, Phys. Rev. E 71, 016224 (2005).
- A. H. Nayfeh, M. I. Younis, and E. M. Abdel-Rahman, Nonlinear Dyn. 41, 211 (2005).
- G. Naganathan, S. Ramadhayani, and A. K. Bajaj, J. Vib. Control 9, 95 (2003).
- T. Gross and U. Feudel, Phys. Rev. E 73, 016205 (2006).
- P. Manzione and A. H. Nayfeh, J. Vib. Control 7, 1013 (2001).
- M. Ragulskis, L. Saunoriene, and J. Ragulskiene, Opt. Lasers Eng. 44, 1209 (2006).
- B. Blasius, Phys. Rev. E 72, 066216 (2005).
- V. P. Namboodiri and S. Chaudhuri, Pattern Recogn. Lett. 28, 311 (2007).