Stochastic resonance in the presence of spatially localized structures

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 3 2, 2003, Pages 366021-3660210

  Rabbiosi, Ivan ^a,b   Scroggie, Andrew J ^a   Oppo, Gian Luca ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^b INSTITUTO MEDITERRÁNEO DE ESTUDIOS AVANZADOS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; MATHEMATICAL MODELS; OPTICAL PARAMETRIC OSCILLATORS; PARTIAL DIFFERENTIAL EQUATIONS; RESONANCE; SOLITONS;

RING CAVITY SOLITONS; STOCHASTIC RESONANCE (SR);

NONLINEAR SYSTEMS;

EID: 0242579393     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982).
2. L. Gammaitoni, P. Hängi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
3. J. García-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer-Verlag, New York, 1999).
4. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995).
5. K. Wiesenfeld, Phys. Rev. A 44, 3543 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, ibid. 46, R1709 (1992).
6. K. Wiesenfeld, Phys. Rev. A 44, 3543 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, ibid. 46, R1709 (1992).
7. P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992).
8. F. Castelpoggi and H.S. Wio, Europhys. Lett. 38, 91 (1997); B. Von Haeften et al., Phys. Rev. Lett. 84, 404 (2000).
9. F. Castelpoggi and H.S. Wio, Europhys. Lett. 38, 91 (1997); B. Von Haeften et al., Phys. Rev. Lett. 84, 404 (2000).
10. J.F. Lindner et al., Phys. Rev. Lett. 75, 3 (1995).
11. F. Marchesoni, L. Gammaitoni, and A.R. Bulsara, Phys. Rev. Lett. 76, 2609 (1996).
12. M. Löcher, G.A. Johnson, and E.R. Hunt, Phys. Rev. Lett. 77, 4698 (1996).
13. J. Opt. Soc. Am. B 16 (1999), special issue on Optical Parametric Devices and Processes.
14. G.-L. Oppo, M. Brambilla, and L. Lugiato, Phys. Rev. A 49, 2028 (1994); G.J. de Valcarcel, K. Staliunas, E. Roldan, and V.J. Sanchez-Morchillo, ibid. 54, 1609 (1996); S. Longhi, ibid. 53, 4488 (1995); A. Gatti and L.A. Lugiato, ibid. 52, 1675 (1995); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, ibid. 56, 877 (1997); I. Marzoli, A. Gatti, and L. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
15. G.-L. Oppo, M. Brambilla, and L. Lugiato, Phys. Rev. A 49, 2028 (1994); G.J. de Valcarcel, K. Staliunas, E. Roldan, and V.J. Sanchez-Morchillo, ibid. 54, 1609 (1996); S. Longhi, ibid. 53, 4488 (1995); A. Gatti and L.A. Lugiato, ibid. 52, 1675 (1995); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, ibid. 56, 877 (1997); I. Marzoli, A. Gatti, and L. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
16. G.-L. Oppo, M. Brambilla, and L. Lugiato, Phys. Rev. A 49, 2028 (1994); G.J. de Valcarcel, K. Staliunas, E. Roldan, and V.J. Sanchez-Morchillo, ibid. 54, 1609 (1996); S. Longhi, ibid. 53, 4488 (1995); A. Gatti and L.A. Lugiato, ibid. 52, 1675 (1995); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, ibid. 56, 877 (1997); I. Marzoli, A. Gatti, and L. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
17. G.-L. Oppo, M. Brambilla, and L. Lugiato, Phys. Rev. A 49, 2028 (1994); G.J. de Valcarcel, K. Staliunas, E. Roldan, and V.J. Sanchez-Morchillo, ibid. 54, 1609 (1996); S. Longhi, ibid. 53, 4488 (1995); A. Gatti and L.A. Lugiato, ibid. 52, 1675 (1995); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, ibid. 56, 877 (1997); I. Marzoli, A. Gatti, and L. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
18. G.-L. Oppo, M. Brambilla, and L. Lugiato, Phys. Rev. A 49, 2028 (1994); G.J. de Valcarcel, K. Staliunas, E. Roldan, and V.J. Sanchez-Morchillo, ibid. 54, 1609 (1996); S. Longhi, ibid. 53, 4488 (1995); A. Gatti and L.A. Lugiato, ibid. 52, 1675 (1995); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, ibid. 56, 877 (1997); I. Marzoli, A. Gatti, and L. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
19. G.-L. Oppo, M. Brambilla, and L. Lugiato, Phys. Rev. A 49, 2028 (1994); G.J. de Valcarcel, K. Staliunas, E. Roldan, and V.J. Sanchez-Morchillo, ibid. 54, 1609 (1996); S. Longhi, ibid. 53, 4488 (1995); A. Gatti and L.A. Lugiato, ibid. 52, 1675 (1995); A. Gatti, H. Wiedemann, L.A. Lugiato, I. Marzoli, G.-L. Oppo, and S.M. Barnett, ibid. 56, 877 (1997); I. Marzoli, A. Gatti, and L. Lugiato, Phys. Rev. Lett. 78, 2092 (1997).
20. G.-L. Oppo, A.J. Scroggie, and W.J. Firth, Phys. Rev. E 63, 066209 (2001).
21. G.-L. Oppo, A.J. Scroggie, S. Sinclair, and M. Brambilla, J. Mod. Opt. 47, 2005 (2000).
22. M. Vaupel, A. Maitre, and C. Fabre, Phys. Rev. Lett. 83, 5278 (1999).
23. T. Alarcón, A. Pérez-Madrid, and J.M. Rubí, Phys. Rev. E 57, 4979 (1998).
24. We prefer to label the down-converted beam in the OPO cavity as "degenerate signal" to distinguish it from the more general meaning of "signal" employed, for example, in the SNR measures.
25. P. Coullet, C. Elphick, and D. Repaux, Phys. Rev. Lett. 58, 431 (1987).
26. I. Rabbiosi, A.J. Scroggie, and G.-L. Oppo, Phys. Rev. Lett. 89, 254102 (2002).
27. M. San Miguel and R. Toral, Stochastic Effects in Nonlinear Systems, Proc. IEEE, 85, 1 (1997).
28. W.J. Firth and A.J. Scroggie, Phys. Rev. Lett. 76, 1623 (1996).
29. T. Maggipinto, M. Brambilla, G.K. Harkness, and W.J. Firth, Phys. Rev. E 62, 8726 (2000).
30. F. Marchesoni, Phys. Lett. A 115, 29 (1986); E. Joergensen, V.P. Koshelets, R. Monaco, J. Mygind, M.R. Samuelsen, and M. Salerno, Phys. Rev. Lett. 49, 1093 (1982).
31. F. Marchesoni, Phys. Lett. A 115, 29 (1986); E. Joergensen, V.P. Koshelets, R. Monaco, J. Mygind, M.R. Samuelsen, and M. Salerno, Phys. Rev. Lett. 49, 1093 (1982).
32. I. Rabbiosi, A.J. Scroggie, and G.-L. Oppo, Eur. Phys. J. D 22, 453 (2003).
33. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
34. B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989).
35. A.J. Bray, Adv. Phys. 43, 357 (1994).
36. I. Rabbiosi and G.-L. Oppo (unpublished).