Symmetry-breaking perturbations and strange attractors

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

Volumn 55, Issue 5, 1997, Pages 4964-4978

  Litvak Hinenzon, Anna ^a   Rom Kedar, Vered ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010425523     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.4964     Document Type: Article

References (40)

1. F C. Moon and P J. Holmes, J. Sound Vib.65, 285 (1979).
2. F C. Moon and P J. Holmes, J. Sound Vib.69, 339 (1980).
3. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer-Verlag, New York, 1990).
4. M. Golubitsky and I. Stewart (with appendix by J. Marsden), Physica D24, 391 (1987).
5. B. Ravindra and A K. Mallik, Phys. Rev. E49, 50 (1994).
6. A I. Neishtadt, Fiz. Plazmy12, 992 (1986) [Sov. J. Plasma Phys.12, 568 (1986)].
7. F J. Bourland and R. Haberman, SIAM J. Appl. Math.50, 1716 (1990).
8. J P. Eckmann and D. Ruelle, Rev. Mod. Phys.57, 617 (1985).
9. M. Benedicks and L. Carleson, Ann. Math.133, 73 (1991).
10. Y L. Cao, Sci. China Series A38, 29 (1995).
11. M. Benedicks and L S. Young, Invent. Math.112, 541 (1993).
12. L. Mora and M. Viana, Acta Math.171, 1 (1993).
13. V. Rom-Kedar, Chaos5, 385 (1995).
14. C. Soto-Treviño and T J. Kaper, J. Math. Phys.37, 6220 (1996).
15. G. Haller and S. Wiggins, Arch. Ration. Mech. Anal.130, 25 (1995).
16. T J. Kaper and G. Kovacic, Trans. Am. Math. Soc.348, 3835 (1996).
17. R. Camassa, G. Kovacic, and S K. Tin (unpublished).
18. J. Palis and F. Takens, Hyperbolicity & Sensitive Chaotic Dynamics at Homoclinic Bifurcations, Cambridge Studies in Advanced Mathematics Vol. 35 (Cambridge University Press, Cambridge, England, 1993).
19. N K. Gavrilov and L P. Silnikov, Math. USSR Sb.88, 467 (1972).
20. N K. Gavrilov and L P. Silnikov, Math. USSR Sb.90, 139 (1972).
21. S V. Gonchenko, L P. Silnikov and D V. Turaev, Physica D62, 1 (1993).
22. Y.-C. Lai, C. Grebogi, J A. Yorke and I. Kan, Nonlinearity6, 779 (1993).
23. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
24. V. Rom-Kedar, in Transport, Chaos and Plasma Physics, edited by F. Doveil, S. Benkadda, and Y. Elskens (World Scientific, Singapore, 1994).
25. V. Rom-Kedar, Nonlinearity7, 441 (1994).
26. A. Litvak-Hinenzon, M.Sc. thesis, Weizmann Institute of Science, Rehovot, Israel, 1996.
27. F A. McRobie, Philos. Trans. R. Soc. London Ser. A338, 557 (1992).
28. R W. Easton, Trans. Am. Math. Soc.294, 714 (1986).
29. B V. Chirikov, Phys. Rep.52, 263 (1979).
30. D F. Escande, in Plasma Theory and Nonlinear and Turbulent Processes in Physics, Proceedings of the International Workshop, Kiev, 1987, edited by V. G. Bar'yakhtar (World Scientific, Singapore, 1988).
31. V. Rom-Kedar, Physica D43, 229 (1990).
32. G M. Zaslavskii and N N. Filonenko, Zh. Eksp. Teor. Fiz.54, 1590 (1968) [Sov. Phys. JETP25, 851 (1968)].
33. DSTOOLS, computer program, Cornell University, Center of Applied Mathematics, Ithaca, NY 14853.
34. A. Wolf, J B. Swift, H L. Swinney and J A. Vastano, Physica D16, 285 (1985).
35. A H. Nayfeh and B. Balachandran, Applied Nonlinear Dynamics, Wiley Series in Nonlinear Science (Wiley, New York, 1995).
36. S. Pelikan and Z. Wan, J. Dyn. Differ. Equ.4, 667 (1992).
37. L S. Young, Physica A124, 639 (1984).
38. Y. Ueda, S. Yoshida, H B. Stewart, and J. M T. Thompson, Philos. Trans. R. Soc. London, Ser. A332, 169 (1990).
39. J. M. T. Thompson, H B. Stewart and Y. Ueda, Phys. Rev. E49, 1019 (1994).
40. C. Grebogi, E. Ott and J A. Yorke, Physica D24, 243 (1987).