Pattern formation induced by additive noise: A moment-based analysis

European Physical Journal B

Volumn 47, Issue 2, 2005, Pages 255-263

  Riaz, S S ^a   Dutta, S ^a   Kar, S ^a   Ray, D S ^a  

^a DEPARTMENT OF MATERIALS SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; SPURIOUS SIGNAL NOISE; SYSTEM STABILITY;

ADDITIVE NOISE; MOMENT-BASED ANALYSIS; PATTERN FORMATION; REACTION-DIFFUSION SYSTEMS;

PATTERN RECOGNITION;

EID: 26444613417     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2005-00314-1     Document Type: Article

References (28)

1. W. Horsthemke, M. Malek Mansour, Z Phys. B 24, 30 (1976)
2. W. Horsthemke, R. Lefever, Noise-induced Transitions (Springer, Berlin, 1984)
3. R. Benzi, A. Sutera, A. Vulpiani, J. Phys. A 14, L453 (1981)
4. L. Gammaitoni, P. Hanggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)
5. J. Garcia-Ojalvo, J.M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999)
6. R. Müler, K. Lippert, A. Kuhnel, U. Behn, Phys. Rev. E 56, 2658 (1997)
7. O. Carrillo, M. Ibanes, J.M. Sancho, Fluct. Noise Lett. 2, LI (2002)
8. C. Van den Broeck, J.M.R. Parrondo, R. Toral, Phys. Rev. Lett. 73 3395 (1994)
9. C. Van den Broeck, J. M. R. Parrondo, R. Toral and R. Kawai, Phys. Rev. E 55, 4084 (1997)
10. J. Garcia-Ojalvo, J.M.R. Parrondo, J.M. Sancho, C. Van den Broeck, Phys. Rev. E 54, 6918 (1996)
11. M.G. Zimmermann, R. Toral, O. Piro, M. San Miguel Phys. Rev. Lett. 85, 3612 (2000)
12. L. Q. Zhou, X. Jia, Q. Ouyang, Phys. Rev. Lett. 88, 138301 (2002)
13. J. Garcia-Ojalvo, A. Hernadez-Machado, J.M. Sancho, Phys. Rev. Lett. 71, 1542 (1993)
14. A. Becker, L. Kramer, Phys. Rev. Lett. 73, 955 (1994);
15. A. Becker, L. Kramer, Physica D 90, 408 (1995)
16. R. Kawai, X. Sailer, L. Schimansky-Geier, C. Van den Broeck, Phys. Rev. E 69, 051104 (2004)
17. J.M.R. Parrondo, C. Van den Broeck, J. Buceta, F.J. de la Rubia, Physica A 224, 153 (1996)
18. A. A. Zaikin, L. Schimansky-Geier, Phys. Rev. E. 58, 4355 (1998)
19. J. Buceta, M. Ibanes, J.M. Sancho, K. Lindenberg, Phys. Rev. E 67, 021113 (2003)
20. J.B. Swift, P.C. Hohenberg, Phys. Rev. A 15, 319 (1977)
21. F. Lesmes, D. Hochberg, F. Moran, J. Perez-Mercader, Phys. Rev. Lett. 91, 238301-1 (2003)
22. G. Jumarie, J. Franklin Inst. B, 332, 761 (1995)
23. L.S. Socha, T.T. Soony, Appl. Mech. Rev. 44, 399 (1991)
24. I. Lengyel, Gy.Rabai, I.R. Epstein, J. Am. Chem. Soc. 112, 4606 (1990)
25. V. Castets, E. Dulos, J. Boissonade, P. De Keeper, Phys. Rev. Lett. 64, 2953 (1990)
26. S. Kar, J.K. Bhattacharjee, D.S. Ray, Eur. Phys. J. B 43, 109 (2005)
27. R.A. Bario, C. Varea, J. Aragon, P.K. Maini, Bull. Math. Biol. 61, 483 (1999)
28. S.S. Riaz, S. Kar, D.S. Ray, J. Chem. Phys. 121, 5395 (2004)