Abrupt bifurcation to chaotic scattering with discontinuous change in fractal dimension

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

Volumn 60, Issue 6, 1999, Pages

  Lai, Ying Cheng ^a  

^a AZ 85281   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000346942     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.R6283     Document Type: Article

References (38)

1. For example, M. C. Gutzwiller, Physica D 7, 341 (1983)
2. C. Jung, J. Phys. A 19, 1345 (1986)
3. M. Hénon, Icarus 66, 536 (1986)
4. M. HénonPhysica D 33, 132 (1998)
5. B. Eckhardt, Europhys. Lett. 61, 329 (1988)
6. G. Troll and U. Smilansky, Physica D 35, 34 (1989)
7. Z. Kovács and T. Tél, Phys. Rev. Lett. 64, 1617 (1990)
8. Y.-C. Lai and C. Grebogi, Phys. Rev. E 49, 3761 (1994).
9. T. Té and E. Oh, Chaos (Focus Issue) 3, 417 (1993).
10. See, for example, R. Blümel, Chaos 3, 683 (1993).
11. See, for example, P. T. Boyd and S. L. W. McMillian, Chaos 3, 507 (1993).
12. See, for example, B. Eckhardt and H. Aref, Trans. Soc. R. London A 326, 655 (1988)
13. E. Ziemniak, C. Jung, T. Tél, Physica D 76, 123 (1994)
14. Á. Péntek, T. Tél, and Z Toroczkai, J. Phys. A 28, 2191 (1995).
15. See, for example, D. W. Noid, S. Gray, and S. A. Rice, J. Chem. Phys. 84, 2649 (1986)
16. Z. Kovács and L. Wiesenfeid, Phys. Rev. E 51, 5476 (1995).
17. See, for example, R. A. Jalabert, H. U. Baranger, and A. D. Stone, Phys. Rev. Lett. 65, 2442 (1990)
18. C. M. Marcus, R. M. Westervelt, P. F. Hopkins, and A. C. Gossard, Chaos 3, 643 (1993).
19. N. J. Cornish and E. P. S. Shellard, Phys. Rev. Lett. 81, 3571 (1998).
20. S. Bleher, C. Grebogi, and E. Ott, Physica D 46, 87 (1990).
21. C. Grebogi, E. Ott, and J. A. Yorke, Physica D 7, 181 (1983).
22. T. Tél, in Directions in Chaos, edited by Bai-lin Hao (World Scientific, Singapore, 1990), Vol.3
23. in STATPHYS 19, edited by Bai-lin Hao (World Scientific, Singapore, 1996).
24. H. Kantz and P. Grassberger, Physica D 17, 75 (1985).
25. P. M. Morse, Phys. Rev. 34, 57 (1929)
26. Phys. Rev.D. ter Haar, 70, 222 (1946)
27. See, for example, J. Heagy and J. M. Yuan, Phys. Rev. A 41, 571 (1990), and references therein.
28. L. Verlet Phys. Rev. 159, 98 (1967).
29. P. Gaspard and S. A. Rice, J. Chem. Phys. 90, 2225 (1989).
30. M. Ding, C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. A 42, 7025 (1990).
31. Y.-C. Lai, R. Blümel, E. Ott, and C. Grebogi, Phys. Rev. Lett. 68, 3491 (1992)
32. Y.-C. Lai, M. Ding, C. Grebogi, and R. Blümel, Phys. Rev. A 46, 4661 (1992).
33. J. D. Meiss, J. R. Cary, C. Grebogi, C. Grebogi, J. D. Crawford, A. N. Kaufman, and H. D. I. Abarbanel, Physica D 6, 375 (1983)
34. Physica DC. F. F. Karney, 8, 360 (1983)
35. Physica DB. V. Chirikov and D. L. Shepelyansky 13, 395 (1984)
36. J. D. Meiss and E. Ott, Phys. Rev. Lett. 55, 2741 (1985).
37. S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, Physica D 17, 125 (1985).
38. Y. T. Lau, J. M. Finn, and E. Ott, Phys. Rev. Lett. 66, 978 (1991).