Map with more than 100 coexisting low-period periodic attractors

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

Volumn 54, Issue 1, 1996, Pages 71-81

  Feudel, Ulrike ^a,b,c   Grebogi, Celso ^a,b,c   Hunt, Brian R ^a,b,c   Yorke, James A ^a,b,c  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY OF POTSDAM   (Germany)

^c Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002783915     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.71     Document Type: Article

References (27)

1. N. K. Gavrilov and L. P. Shilnikov, Mat. Sb.17, 467 (1972).
2. S. E. Newhouse, Topology13, 9 (1974).
3. P. M. Battelino, C. Grebogi, E. Ott and J. A. Yorke, Physica D32, 296 (1988).
4. L. Poon and C. Grebogi, Phys. Rev. Lett.75, 4023 (1995).
5. S. E. Newhouse, Publ. Math. Inst. Hautes Etude. Sci.50, 101 (1979).
6. C. Robinson, Commun. Math. Phys.90, 433 (1983).
7. L. Tedeschini-Lalli and J. A. Yorke, Commun. Math. Phys.106, 635 (1986).
8. H. E. Nusse and L. Tedeschini-Lalli, Commun. Math. Phys.144, 429 (1992).
9. B. V. Chirikov, Phys. Rep.52, 265 (1979).
10. For example: J. M. Greene, J. Math. Phys.20, 1183 (1979);
11. G. Schmidt, Phys. Rev. A22, 2849 (1980);
12. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
13. G. M. Zaslavskii, Phys. Lett. A69, 145 (1978).
14. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
15. G. Schmidt and B. W. Wang, Phys. Rev. A32, 2994 (1985).
16. W. Wenzel, O. Biham and C. Jayaprakash, Phys. Rev. A43, 6550 (1991).
17. A. B. Zisook, Phys. Rev. A24, 1640 (1981).
18. G. R. W. Quispel, Phys. Rev. A31, 3924 (1985).
19. G. Chen, G. György and G. Schmidt, Phys. Rev. A34, 2568 (1986).
20. M. A. Lieberman and K. Y. Tsang, Phys. Rev. Lett.55, 908 (1985).
21. S. W. McDonald, C. Grebogi, E. Ott and J. A. Yorke, Physica D17, 125 (1985).
22. C. Grebogi, S. W. McDonald, E. Ott and J. A. Yorke, Phys. Lett. A99, 415 (1983).
23. C. Grebogi, H. E. Nusse, E. Ott, and J. A. Yorke, in Lecture Notes in Mathematics, edited by J. C. Alexander (Springer-Verlag, New York, 1988), Vol. 1342, p. 220.
24. J. W. Swift and K. Wiesenfeldt, Phys. Rev. Lett.52, 705 (1984).
25. U. Feudel and W. Jansen, Int. J. Bif. Chaos2, 773 (1992).
26. C. Grebogi, E. Kostelich, E. Ott and J. A. Yorke, Physica D25, 347 (1987);
27. F. Romeiras, C. Grebogi, E. Ott and W. P. Dayawansa, Physica D58, 165 (1992).