Homoclinic dynamics in experimental Shil’nikov attractors

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

Volumn 53, Issue 6, 1996, Pages 5627-5636

  Herrero, R ^a   Pons, R ^a   Farjas, J ^a   Pi, F ^a   Orriols, G ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000156535     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.5627     Document Type: Article

References (30)

1. J. Gukenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983).
2. J. Palis, F. Takens, Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations (Cambridge University Press, Cambridge, 1993).
3. A. Arnéodo, P. Coullet and C. Tresser, J. Stat. Phys.27, 171 (1982).
4. P. Gaspard, R. Kapral and G. Nicolis, J. Stat. Phys.35, 697 (1984).
5. L. P. Shil'nikov, Math. USSR Sb.6, 443 (1963).
6. N K. Gavrilov and L. P. Shil'nikov, Math. USSR Sb.17, 467 (1972);
7. N K. Gavrilov and L. P. Shil'nikov, Math. USSR Sb.18, 139 (1973).
8. A. Arnéodo, P. Coullett, E A. Spiegel and C. Tresser, Physica D14, 327 (1985).
9. P. Glendinning and C. Sparrow, J. Stat. Phys.35, 645 (1984).
10. M. Bosch and C. Simó, Physica D62, 217 (1993).
11. P. Hirschberg and E. Knobloch, Physica D62, 202 (1993).
12. F. Argoul, A. Arnéodo and P. Richetti, J. Chi, Phys.84, 1367 (1987).
13. F T. Arecchi, W. Gadomski, A. Lapucci, H. Mancini, R. Meucci and J A. Roversi, J. Opt. Soc. Am. B5, 1153 (1988).
14. D. Hennequin, F. de Tomasi, B. Zambon and E. Arimondo, Phys. Rev. A37, 2243 (1988).
15. M. Lefranc, D. Hennequin and D. Dangoisse, J. Opt. Soc. Am.8, 239 (1991).
16. F. Papoff, A. Fioretti and E. Arimondo, Phys. Rev. A44, 4639 (1991).
17. T. Braun, J A. Lisboa, and J. A C. Gallas, Phys. Rev. Lett.68, 2770 (1992).
18. R. Herrero, F. Boixader, G. Orriols, J I. Rosell and F. Pi, Opt. Commun.113, 324 (1994).
19. J J. Healey, D S. Broomhead, K A. Cliffe, R. Jones and T. Mullin, Physica D48, 322 (1991).
20. H. Herzael, P. Plath and P. Svensson, Physica D48, 340 (1991).
21. M R. Basset and J L. Hudson, J. Phys. Chem.92, 6963 (1988).
22. G. Orriols, C. Schmidt-Iglesias and F. Pi, Opt. Commun.63, 66 (1987).
23. J I. Rosell, J. Farjas, R. Herrero, F. Pi and G. Orriols, Physica D85, 509 (1995).
24. J. Farjas, J I. Rosell, R. Herrero, R. Pons, F. Pi, and G. Orriols, Physica D (to be published).
25. H J. Kong and W Y. Hwang, J. Appl. Phys.67, 6066 (1990).
26. J I. Rosell, F. Pi, F. Boixader, R. Herrero, J. Farjas and G. Orriols, Opt. Commun.82, 162 (1991).
27. O. E. Rössler, Ann. N. Y. Acad. Sci.316, 376 (1979).
28. F600, Bayer AG.
29. NOA61, Norland Products Inc.
30. W. Briggs, Phys. Lett. A151, 27 (1990).