Bifurcation and chaos in the double-well Duffing–van der Pol oscillator: Numerical and analytical studies

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

Volumn 56, Issue 6, 1997, Pages 6321-6330

  Venkatesan, A ^a   Lakshmanan, M ^a  

^a BHARATHIDASAN UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009953049     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.6321     Document Type: Article

References (29)

1. M. Lakshmanan and K. Murali, Chaos in Nonlinear Oscillators: Controlling and Synchronization (World Scientific, Singapore, 1996).
2. H A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, Englewood Cliffs, NJ, 1984).
3. B. J. A. Zielinska, D. Mukamel, V. Steinberg, and S. Fishman, Phys. Rev. A32, 702 (1985).
4. P J. Probert and J E. Carrol, Proc. IEEE134, 295 (1987).
5. 136, 22 (1989).
6. S. Rajasekar and M. Lakshmanan, Physica D32, 146 (1988).
7. J. Guckenheimer and P. Holmes, Nonlinear Oscillations and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983).
8. E. Atlee Jackson, Perspectives of Nonlinear Dynamics (Cambridge University Press, New York, 1991).
9. Y. Udea and N. Akamatasu, IEEE Trans. Circuits Syst.28, 217 (1981).
10. W H. Steeb and A. Kunick, Int. J. Nonlinear Mech.22, 349 (1987).
11. A S. Demitriev, U A. Komelv, and D Y. Turaev, Int. J. Bifurcation Chaos2, 93 (1992).
12. T C. Bountis, L B. Drossos, M. Lakshmanan, and S. Parthasarthy, J. Phys. A24, 6924 (1993).
13. W. Szemplinska-Stupnika and J. Rudowski, Phys. Lett. A192, 201 (1994).
14. S. Rajasekar, S. Parthasarthy, and M. Lakshmanan, Chaos Solitons Fractals2, 271 (1992).
15. Y. Kao and C S. Wang, Phys. Rev. E48, 2514 (1993).
16. W. Szemplinska-Stupnika and J. Rudowski, Chaos3, 376 (1993).
17. A. Venkatesan and M. Lakshmanan (unpublished).
18. J. M. T. Thompson and H B. Stewart, Nonlinear Dynamics and Chaos (Wiley, New York, 1986).
19. J. M. T. Thompson, Proc. R. Soc. London, Ser. A421, 195 (1989).
20. Y. Pomeau and P. Manneville, Commun. Math. Phys.74, 189 (1980).
21. R H. Abraham and H B. Stewart, Physica D21, 394 (1986).
22. C. Grebogi, E. Ott, and J A. Yorke, Physica D7, 181 (1983).
23. P. Manneville and Y. Pomeau, Phys. Lett.75A, 1 (1979).
24. Physica D1, 219 (1980).
25. J Y. Huang and J J. Kim, Phys. Rev. A36, 1475 (1987).
26. J. San-Martin and J C. Antoranz, Phys. Lett. A219, 69 (1996).
27. S. Chatterjee and A K. Mallik, Phys. Rev. E53, 4362 (1996).
28. A H. Nayfeh and D T. Mook, Nonlinear Oscillations (Wiley, New York, 1979).
29. U. Parlitz and W. Lauterborn, Phys. Rev. A36, 1428 (1987).