Attractor bifurcation and on-off intermittency

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 4 II, 2001, Pages 452021-452024

  Kye, Won Ho ^a   Topaj, Dmitri ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; INVARIANCE; LYAPUNOV METHODS; SPURIOUS SIGNAL NOISE;

ATTRACTOR BIFURCATIONS;

BIFURCATION (MATHEMATICS);

EID: 0035304342     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.045202     Document Type: Article

References (20)

1. H. G. Schuster, Deterministic Chaos, 3rd augmented ed. (VCH, Weinheim, 1995).
2. P. Manneville and Y. Pomeau, Phys. Lett. 75A, 1 (1979); W.-H. Kye and C.-M. Kim, Phys. Rev. E 62, 6304 (2000), and references therein; C.-M. Kim and W.-H. Kye (unpublished).
3. P. Manneville and Y. Pomeau, Phys. Lett. 75A, 1 (1979); W.-H. Kye and C.-M. Kim, Phys. Rev. E 62, 6304 (2000), and references therein; C.-M. Kim and W.-H. Kye (unpublished).
4. P. Manneville and Y. Pomeau, Phys. Lett. 75A, 1 (1979); W.-H. Kye and C.-M. Kim, Phys. Rev. E 62, 6304 (2000), and references therein; C.-M. Kim and W.-H. Kye (unpublished).
5. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993); J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E 49, 1140 (1994); C.-M. Kim, Phys. Rev. E 56, 3697 (1997).
6. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993); J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E 49, 1140 (1994); C.-M. Kim, Phys. Rev. E 56, 3697 (1997).
7. N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993); J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E 49, 1140 (1994); C.-M. Kim, Phys. Rev. E 56, 3697 (1997).
8. A. Pikovsky and P. Grassberger, J. Phys. A 24, 4587 (1991); Y.-C. Lai, Phys. Rev. E 53, R4267 (1996).
9. A. Pikovsky and P. Grassberger, J. Phys. A 24, 4587 (1991); Y.-C. Lai, Phys. Rev. E 53, R4267 (1996).
10. A. Stefański, T. Kapitaniak, J. Brindley, and V. Astakhov, Phys. Rev. E 57, 1175 (1998).
11. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 48, 1507 (1982); C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 50, 935 (1983); C. Grebogi, E. Ott, F. Romeiras, and J. A. Yorke, Phys. Rev. A 36, 5362 (1987).
12. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 48, 1507 (1982); C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 50, 935 (1983); C. Grebogi, E. Ott, F. Romeiras, and J. A. Yorke, Phys. Rev. A 36, 5362 (1987).
13. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 48, 1507 (1982); C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 50, 935 (1983); C. Grebogi, E. Ott, F. Romeiras, and J. A. Yorke, Phys. Rev. A 36, 5362 (1987).
14. S. Rim, D.-U. Hwang, I. Kim, and C.-M. Kim, Phys. Rev. Lett. 85, 2304 (2000).
15. K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); B. Hu and C. Zhou, Phys. Rev. E 62, 1983 (2000); C. Zhou and C.-H. Lai, Phys. Rev. E 60, 3928 (1999).
16. K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); B. Hu and C. Zhou, Phys. Rev. E 62, 1983 (2000); C. Zhou and C.-H. Lai, Phys. Rev. E 60, 3928 (1999).
17. K. M. Cuomo and A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993); B. Hu and C. Zhou, Phys. Rev. E 62, 1983 (2000); C. Zhou and C.-H. Lai, Phys. Rev. E 60, 3928 (1999).
18. H. L. Yang, Z. Q. Huang, and E. J. Ding, Phys. Rev. Lett. 77, 4899 (1996).
19. N. Platt, S. M. Hammel, and James F. Heagy, Phys. Rev. Lett. 72, 3498 (1994).
20. J. B. Gao, Phys. Rev. Lett. 83, 3178 (1999).