Role of multistability in the transition to chaotic phase synchronization

Chaos

Volumn 9, Issue 1, 1999, Pages 227-232

  Postnov, D E ^a   Vadivasova, T E ^a   Sosnovtseva, O V ^a   Balanov, A G ^a   Anishchenko, V S ^a   Mosekilde, E ^b  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033098280     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166394     Document Type: Article

References (29)

1. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer-Verlag, Berlin, 1984).
2. S. Strogatz, in Biomathematics (Springer, Berlin, 1993), Vol. 100.
3. V. S. Anishchenko, T. E. Vadivasova, D. E. Postnov, and M. A. Safonova, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 633 (1992).
4. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
5. J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E 50, 1875 (1994).
6. L. Kosarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995).
7. V. Afraimovitch, N. Veritchev, and M. Rabinovitch, Izv. VUZ., Radiofiz. 29, 1050 (1986) (in Russian).
8. N. F. Rulkov, M. M. Suschik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995).
9. L. Kosarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).
10. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).
11. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
12. P. Cvitanović, Universality in Chaos (Adam Hilger, Bristol, 1984).
13. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 48, 1507 (1982).
14. A. S. Pikovsky and P. Grassberger, J. Phys. A 24, 4587 (1991).
15. Yu. L. Maistrenko, V. L. Maistrenko, A. Popovich, and E. Mosekilde, Phys. Rev. Lett. 80, 1638 (1998).
16. V. S. Anishchenko, Pis'ma Zh. Tekh Fiz. 10, 629 (1984) [Sov. Tech. Phys. Lett. 10, 266 (1984)].
17. V. S. Anishchenko, Pis'ma Zh. Tekh Fiz. 10, 629 (1984) [Sov. Tech. Phys. Lett. 10, 266 (1984)].
18. V. S. Anishchenko, T. Kapitaniak, M. A. Safonova, and O. V. Sosnovtseva, Phys. Lett. A 192, 207 (1994).
19. O. Sosnovtseva and E. Mosekilde, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 1225 (1997).
20. A. Pikovsky, G. Osipov, M. Rosenblum, M. Zaks, and J. Kurths, Phys. Rev. Lett. 79, 47 (1997).
21. E. Posa, Jr., E. Ott, and M. H. Hess, Phys. Rev. Lett. 80, 1642 (1998).
22. V. V. Astakhov, B. P. Bezruchko, E. N. Erastova, and E. P. Seleznev, J. Tekh. Fiz. 60, 19 (1990) [Sov. Phys. Tech. Phys. 35, 1122 (1990)].
23. V. V. Astakhov, B. P. Bezruchko, E. N. Erastova, and E. P. Seleznev, J. Tekh. Fiz. 60, 19 (1990) [Sov. Phys. Tech. Phys. 35, 1122 (1990)].
24. J. Rasmussen, E. Mosekilde, and C. Reick, Math. Comput. Simul. 40, 247 (1996).
25. V. S. Anishchenko, V. V. Astakhov, T. E. Vadivasova, O. V. Sosnovtseva, and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, 1677 (1995).
26. I. Blekhman, Synchronization in Science and Technology (ASME, New York, 1988).
27. D. Rand, J. Sethna, S. Ostlund, and E. D. Siggia, Phys. Rev. Lett. 49, 132 (1982).
28. A. Pikovsky, M. Zaks, M. Rosenblum, G. Osipov, and J. Kurths, Chaos 7, 680 (1997).
29. J. P. Crutchfield, J. D. Farmer, and B. A. Huberman, Phys. Rep. 92, 45 (1982).