Dissipative chaotic scattering

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

Volumn 65, Issue 1, 2002, Pages

  Motter, Adilson E ^a   Lai, Ying Cheng ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSERVATIVE SYSTEMS; DECAY LAW OF SCATTERING; DISSIPATIVE CHAOTIC SCATTERING; HYDRODYNAMICAL FLOWS;

FUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES; PROBABILITY;

CHAOS THEORY;

EID: 33745687604     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.015205     Document Type: Article

References (19)

1. C. Jung, J. Phys. A 19, 1345 (1986).
2. M. Hénon, Physica D 33, 132 (1988).
3. P. Gaspard and S. A. Rice, J. Chem. Phys. 90, 2225 (1989).
4. G. Troll and U. Smilansky, Physica D 35, 34 (1989).
5. P. Gaspard, Chaos, Scattering, and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
6. C. Grebogi, E. Ott, and J. A. Yorke, Physica D 7, 181 (1983).
7. M. Ding, C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. A 42, 7025 (1990).
8. Y.-C. Lai, R. Blümel, E. Ott, and C. Grebogi, Phys. Rev. Lett. 68, 3491 (1992).
9. Y. T. Lau, J. M. Finn, and E. Ott, Phys. Rev. Lett. 66, 978 (1991).
10. C. F. F. Karney, Physica D 8, 360 (1983).
11. B. V. Chirikov and D. L. Shepelyansky, 13, 394 (1984);
12. J. Meiss and E. Ott, 20, 387 (1986);
13. Y.-C. Lai, M. Ding, C. Grebogi, and R. Blümel, Phys. Rev. A 46, 4661 (1992).
14. B. Eckhardt and H. Aref, Philos. Trans. R. Soc. London, Ser. A 326, 655 (1988).
15. Á. Péntek, Z. Toroczkai, T. Tél, C. Grebogi, and J. A. Yorke, Phys. Rev. E 51, 4076 (1995).
16. G. Stolovitzky, T. J. Kaper, and L. Sirovich, Chaos 5, 671 (1995).
17. M. R. Maxey and J. J. Riley, Phys. Fluids 26, 883 (1983).
18. S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, Physica D 17, 125 (1985).
19. The phenomenon of stabilization of periodic orbits induced by dissipation was previously reported in the context of multistability and complexity of closed systems, U. Feudel and C. Grebogi, Chaos 7, 597 (1997).