Evolution of complex oscillations in a quasiperiodically forced chain

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 1, 1998, Pages 282-287

  Sosnovtseva, O ^a   Vadivasova, T E ^a   Anishchenko, V S ^a  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243879297     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.282     Document Type: Article

References (20)

1. J. P. Crutchfield and K. Kaneko, Phenomenology of Spatio-Temporal Chaos (World Scientific, Singapore, 1987).
2. K. Kaneko, Physica D 37, 60 (1989)
3. V. S. Anishchenko, D. E. Postnov, and M. A. Safonova, Pis’ma Zh. Tekh. Fiz. 11, 1505 (1985) [Sov. Tech. Phys. Lett. 11, 621 (1985)].
4. I. S. Aranson, A. V. Gaponov-Grekhov, and M. I. Rabinovich, Physica D 33, 1 (1988)
5. S. P. Kuznetsov and A. S. Pikovsky, Physica D 19, 384 (1986)
6. S. P. Kuznetsov, Chaos Solitons Fractals 2, 281 (1992)
7. L. Landau, Dokl. Akad. Nauk USSR 44, 339 (1944)
8. E. A. Hopf, Commun. Pure Appl. Math. 1, 303 (1948)
9. D. Ruelle and F. Takens, Commun. Math. Phys. 20, 167 (1971)
10. S. Newhouse, D. Ruelle, and F. Takens, Commun. Math. Phys. 64, 35 (1978)
11. V. I. Arnol’d, V. S. Afraimovich, Yu. S. Iljashenko, and L. P. Shil’nikov, Dynamical Systems. Vol 5. Bifurcation Theory and Catastrophe Theory (Springer-Verlag, New York, 1994).
12. V. S. Anishchenko, M. A. Safonova, U. Feudel, and J. Kurths, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 595 (1994).
13. J. P. Gollub and S. V. Benson, J. Fluid Mech. 100, 449 (1980).
14. J. Stavans, F. Heslot, and A. Libchaber, Phys. Rev. Lett. 55, 596 (1985)
15. C. Grebogi, E. Ott, S. Pelikan, and J. A. Yorke, Physica D 13, 261 (1984)
16. M. Ding, C. Grebogi, and E. Ott, Phys. Rev. A 39, 2593 (1989)
17. U. Feudel, J. Kurths, and A. Pikovsky, Physica D 88, 176 (1995)
18. A. Pikovsky and U. Feudel, Chaos 5, 253 (1995)
19. J. F. Heagy and S. M. Hammel, Physica D 70, 140 (1994)
20. V. S. Anishchenko, T. E. Vadivasova, and O. Sosnovtseva, Phys. Rev. E 53, 4451 (1996). PLEEE8