Inhibition of chaotic escape from a potential well by incommensurate escape-suppressing excitations

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

Volumn 65, Issue 3, 2002, Pages

  Chacon R ^a   Martinez J A ^b  

^a UNIVERSITY OF EXTREMADURA   (Spain)

^b UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RESONANCE;

ESCAPE-SUPPRESSING EXCITATIONS; HIGH-RESOLUTION GRID; MELNIKOV ANALYSIS (MA); ULTRASUBHARMONIC RESONANCE;

CHAOS THEORY;

EID: 34748888106     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.036213     Document Type: Article

References (16)

1. J. M. T. Thompson, Proc. R. Soc. London, Ser. A 421, 195 (1989).
2. R. Chacón, F. Balibrea, and M. A. López, J. Math. Phys. 37, 5518 (1996).
3. R. Chacón, F. Balibrea, and M. A. López, Phys. Lett. A 235, 153 (1997).
4. R. Chacón, F. Balibrea, and M. A. López, Phys. Lett. A 279, 38 (2001).
5. A. Uchida, Phys. Rev. E 58, 7249 (1998).
6. M. Salerno, Phys. Rev. B 44, 2720 (1991).
7. M. Salerno and M. R. Samuelsen, Phys. Lett. A 190, 177 (1994).
8. R. Chacón, Europhys. Lett. 54, 148 (2001).
9. Y. Braiman and I. Goldhirsch, Phys. Rev. Lett. 66, 2545 (1991).
10. V. K. Melnikov, Tr. Mosk. Ova. 12, 3 (1963) [Trans. Moscow Math. Soc. 12A, 1 (1963)].
11. V. I. Arnold, Sov. Math. Dokl. 5, 581 (1964).
12. J. Guckenheimer and P. J. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, Berlin, 1983).
13. F. C. Moon and G.-X. Li, Phys. Rev. Lett. 55, 1439 (1985).
14. S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, Physica D 17, 125 (1985).
15. A. S. Pikovsky and U. Feudel, Chaos 5, 253 (1995).
16. Y. S. Kivshar, Phys. Rev. E 49, 319 (1994).