Spatial coherence resonance near pattern-forming instabilities

Europhysics Letters

Volumn 65, Issue 4, 2004, Pages 452-458

  Carrillo, O ^a   Santos, M A ^b   Garcia Ojalvo J ^c,d   Sancho, J M ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^d Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1142265172     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-10105-4     Document Type: Article

References (33)

1. WIESENFELD K. and MOSS F., Nature, 373 (1995) 33.
2. GAMMAITONI L., HÄNGGI P., JUNG P. and MARCHESONI F., Rev. Mod. Phys., 70 (1998) 223.
3. ANISHCHENKO V. S., ASTAKHOV V., NEIMAN A. B., VADIVASOVA T. and SCHIMANSKY-GEIER L., Nonlinear Dynamics of Chaotic and Stochastic Systems (Springer-Verlag, Berlin) 2002.
4. HU G., DITZINGER T., NING C. Z. and HAKEN H., Phys. Rev. Lett., 71 (1993) 807.
5. RAPPEL W. J. and STROGATZ S. H., Phys. Rev. E, 50 (1994) 3249.
6. PIKOVSKY A. and KURTHS J., Phys. Rev. Lett., 78 (1997) 775.
7. LINDNER B., GARCÍA-OJALVO J., NEMAN A. and SCHIMANSKY-GEIER L., Effects of noise in excitable systems, to be published in Phys. Rep. (2004).
8. CROSS M. C. and HOHENBERG P. C., Rev. Mod. Phys., 65 (1993) 851.
9. GARCÍA-OJALVO J. and SANCHO J. M., Noise in Spatially Extended Systems (Spriger-Verlag, New York) 1999.
10. ALONSO S., SENDIÑA-NADAL I., PÉREZ-MUÑUZURI V., SANCHO J. M. and SAGUÉS F., Phys. Rev. Lett., 87 (2001) 078302.
11. JUNG P. and MAYER-KRESS G., Phys. Rev. Lett., 74 (1995) 2130.
12. HEMPEL H., SCHIMANSKY-GEIER L. and GARCÍA-OJALVO J., Phys. Rev. Lett., 82 (1999) 3713.
13. BUSCH H. and KAISER F., Phys. Rev. E, 67 (2003) 041105.
14. LINDNER J. F., MEADOWS B. K., DITTO W. L., INCHIOSA M. E. and BULSARA A. R., Phys. Rev. Lett., 75 (1995) 3.
15. WIO H. S., Phys. Rev. E, 54 (1995) R3075.
16. HAN S. K., YIM T. G., POSTNOV D. E. and SOSNOVTSEVA O. V., Phys. Rev. Lett., 83 (1999) 1771.
17. NEIMAN A., SCHIMANSKY-GEIER L., CORNELL-BELL A. and MOSS F., Phys. Rev. Lett., 83 (1999) 4896.
18. ZHOU C. S., KURTHS J. and HU B., Phys. Rev. Lett., 87 (2001) 098101.
19. LINDNER B. and SCHIMANSKY-GEIER L., Phys. Rev. E, 60 (1999) 7270.
20. WIESENFELD K., J. Stat. Phys., 19 (1985) 25.
21. OMBERG L., DOLAN K., NEIMAN A. and Moss F., Phys. Rev. E, 61 (2000) 4848.
22. NEIMAN A., SAPARIN P. I. and STONE L., Phys. Rev. E, 56 (1997) 270.
23. KISS I. Z., HUDSON J. L., SANTOS G. J. E. and PARMANANDA P., Phys. Rev. E, 67 (2003) 035201.
24. REHBERG I., RASENAT S., DE LA TORRE JUÁREZ M., SCHÖPF W., HÖRNER F., AHLERS G. and BRAND H. R., Phys. Rev. Lett., 67 (1991) 596.
25. WU M., AHLERS G. and CANNELL D. S., Phys. Rev. Lett., 75 (1995) 1743.
26. GOLDMAN D. I., SWIFT J. B. and SWINNEY H. L., cond-mat/0308028.
27. EPSTEIN I. R. and POJMAN J. A., An Introduction to Nonlinear Chemical Dynamics (Oxford University Press, New York) 1998.
28. SANZ-ANCHELERGUES A., ZHABOTINSKY A. M., EPSTEIN I. R. and MUÑUZURI A. P., Phys. Rev. E, 63 (2001) 056124.
29. The homogeneous component of the spatial profile in this system gives rise to a spike of s(k) at k = 0, which has been extracted in the present results. The final value of s(0) used here is then obtained by extrapolating to k = 0 a fitting function defined for k > 0.
30. LANGER J. S., Ann. Phys. (N.Y.), 65 (1971) 53.
31. GARCÍA-OJALVO J., HERNÁNDEZ-MACHADO A. and SANCHO J. M., Phys. Rev. Lett., 71 (1993) 1542.
32. PARRONDO J. M. R., VAN DEN BROECK C., BUCETA J. and DE LA RUBIA J., Physica A, 224 (1996) 153.
33. BUCETA J., IBAÑES M., SANCHO J. M. and LINDENBERG K., Phys. Rev. E, 67 (2003) 021113.