On homoclinic snaking in optical systems

Chaos

Volumn 17, Issue 3, 2007, Pages

  Firth, W J ^a   Columbo, L ^b   Maggipinto, T ^b  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^b UNIVERSITY OF BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34848841456     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2768157     Document Type: Article

References (49)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
2. P. Manneville, Dissipative Structures and Weak Turbulence (Academic, San Diego, CA, 1990).
3. J. Ross, K. L. C. Hunt, and P. M. Hunt, J. Chem. Phys. 0021-9606 10.1063/1.454002 88, 2719 (1988); J. Ross, S. C. Müller, and C. Vidal, Science 240, 460 (1988).
4. J. Ross, K. L. C. Hunt, and P. M. Hunt, J. Chem. Phys. 0021-9606 10.1063/1.454002 88, 2719 (1988); J. Ross, S. C. Müller, and C. Vidal, Science 240, 460 (1988).
5. J. D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1989).
6. R. Richter and I. V. Barashenkov, Phys. Rev. Lett. 94, 184503 (2005).
7. I. Müller, E. Ammelt, and H. -G. Purwins, Phys. Rev. Lett. 82, 3428 (1999).
8. D. W. Mc Laughlin, J. V. Moloney, and A. C. Newell, Phys. Rev. Lett. 51, 75 (1983).
9. L. A. Lugiato and R. Lefever, Phys. Rev. Lett. 58, 2209 (1987).
10. W. J. Firth and C. Pare, Opt. Lett. 13, 1096 (1988).
11. W. Lange, Yu. A. Logvin, and T. Ackemann, Physica D 96, 230 (1996).
12. L. A. Lugiato, M. Brambilla, and A. Gatti, Optical Pattern Formation, in Advances in Atomic, Molecular and Optical Physics, edited by, B. Bederson, and, H. Walther, (Academic Press, San Diego & London, 1998), Vol. 40, p. 229.
13. See the special issues of Chaos, Noise and Fractals 4 (1994), edited by, L. A. Lugiato,; Chaos, Noise and Fractals 10 (1999), edited by, R. Neubecker,; and J. Opt. B 6 (2004), edited by, M. Haelterman, and, R. Vilaseca,.
14. A. J. Scroggie and W. J. Firth, Europhys. Lett. 26, 521 (1994).
15. M. Tlidi, P. Mandel, and R. Lefever, Phys. Rev. Lett. 73, 640 (1994).
16. W. J. Firth and A. Scroggie, Phys. Rev. Lett. 76, 1623 (1996).
17. M. Brambilla, L. A. Lugiato, and M. Stefani, Europhys. Lett. 34, 109 (1996).
18. M. Tlidi, P. Mandel, and M. Haelterman, Phys. Rev. E 56, 6524 (1997).
19. N. N. Rosanov, Spatial Hysteresis and Optical Patterns, Springer Series in Synergetics (Springer, Berlin, 2002).
20. J. K. Harkness, W. J. Firth, G.-L. Oppo, and J. M. McSloy, Phys. Rev. E 66, 046605 (2002).
21. M. Tlidi, A. G. Vladimirov, and P. Mandel, IEEE J. Quantum Electron. 39, 216 (2003).
22. D. Becker, E. Ammelt, and H. -G. Purwins (unpublished).
23. Y. Menesguen, S. Barbay, X. Hachair, L. Leroy, I. Sagnes, and R. Kuszelewicz, Phys. Rev. A 74, 023818 (2006).
24. F. Pedaci, P. Genevet, S. Barland, M. Giudici, and J. R. Tredicce, Appl. Phys. Lett. 89, 221111 (2006).
25. Dissipative Solitons, Vol. 661 of Lecture Notes in Physics, edited by, N. Akhmediev, and, A. Ankiewicz, (Springer, New York, 2005).
26. P. Coullet, C. Riera, and C. Tresser, Phys. Rev. Lett. 84, 3069 (2000).
27. A. R. Champneys, Physica D 112, 158 (1998).
28. Y. Nishiura and D. Ueyama, Physica D 130, 73 (1999).
29. J. M. McSloy, W. J. Firth, G. K. Harkness, and G.-L. Oppo, Phys. Rev. E 66, 046606 (2002).
30. W. J. Firth, G. K. Harkness, A. Lord, J. McSloy, D. Gomila, and P. Colet, J. Opt. Soc. Am. B 19, 747 (2002).
31. J. Burke and E. Knobloch, Phys. Rev. E 73, 056211 (2006).
32. G. Kozyreff and S. J. Chapman, Phys. Rev. Lett. 97, 044502 (2006).
33. Y. Pomeau, Physica D 23, 3 (1986).
34. S. Barland, J. R. Tredicce, M. Brambilla, L. A. Lugiato, S. Balle, M. Giudici, T. Maggipinto, L. Spinelli, G. Tissoni, T. Knödl, M. Miller, and R. Jäger, Nature 419, 699 (2002).
35. B. Schaepers, T. Ackemann, and W. Lange, J. Opt. Soc. Am. B 19, 707 (2002).
36. A. G. Vladimirov, S. V. Fedorov, N. A. Kaliteevskii, G. V. Khodova, and N. N. Rosanov, J. Opt. B: Quantum Semiclassical Opt. 1, 101 (1999).
37. L. A. Lugiato and C. Oldano, Phys. Rev. A 37, 3896 (1988).
38. D. Gomila, A. J. Scroggie, and W. J. Firth, Physica D 227, 70 (2007).
39. G. Tissoni, L. Spinelli, M. Brambilla, T. Maggipinto, I. M. Perrini, and L. A. Lugiato, J. Opt. Soc. Am. B 16, 2083 (1999).
40. G. Tissoni, L. Spinelli, M. Brambilla, T. Maggipinto, I. M. Perrini, and L. A. Lugiato, J. Opt. Soc. Am. B 16, 2095 (1999).
41. T. Maggipinto, M. Brambilla, G. K. Harkness, and W. J. Firth, Phys. Rev. E 62, 8726 (2000).
42. T. Maggipinto, M. Brambilla, and W. J. Firth, IEEE J. Quantum Electron. 39, 206 (2003).
43. W. J. Firth and G. K. Harkness, Asian J. Phys. 7, 665 (1998).
44. W. J. Firth, L. Columbo, and A. J. Scroggie, Phys. Rev. Lett. 0031-9007 (to be published).
45. G. C. Duree, J. L. Shultz, G. J. Salamo, M. Segev, A. Yariv, B. Crossignani, P. Di Porto, E. J. Sharp, and R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
46. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
47. A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, Phys. Rev. Lett. 94, 160401 (2005).
48. S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, Phys. Rev. E 73, 066603 (2006).
49. E. M. Wright, W. J. Firth, and I. Galbraith, J. Opt. Soc. Am. B 2, 383 (1985).