Resonant-pattern formation induced by additive noise in periodically forced reaction-diffusion systems

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

Volumn 74, Issue 3, 2006, Pages

  Wang, Hongli ^a   Zhang, Ke ^a   Ouyang, Qi ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; DIFFUSION; MATHEMATICAL MODELS; OSCILLATORS (MECHANICAL); SPURIOUS SIGNAL NOISE; SYSTEMS ANALYSIS;

BRUSSELATOR MODELS; FORCING FREQUENCY; HOMOGENEOUS OSCILLATION; RESONANT PATTERNS;

NUMERICAL METHODS;

EID: 33749236431     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.036210     Document Type: Article

References (44)

1. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer, Berlin, 1984).
2. L. Gammaitoni, P. Hanggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.223 70, 223 (1998).
3. J. García-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
4. C. Van den Broeck, J. M. R. Parrondo, and R. Toral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3395 73, 3395 (1994);
5. C. Van den Broeck, J. M. R. Parrondo, R. Toral, and R. Kawai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.4084 55, 4084 (1997);
6. S. Mangioni, R. Deza, H. S. Wio, and R. Toral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2389 79, 2389 (1997);
7. S. Mangioni, R. R. Deza, R. Toral, and H. S. Wio, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.223 61, 223 (2000);
8. M. Ibães, J. Garcia-Ojalvo, R. Toral, and J. M. Sancho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.020601 87, 020601 (2001).
9. J. Buceta, M. Ibanes, J. M. Sancho, and K. Lindenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021113 67, 021113 (2003);
10. K. Wood, J. Buceta, and K. Lindenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.022101 73, 022101 (2006).
11. M. A. Santos and J. M. Sancho, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.98 59, 98 (1999);
12. L. Q. Zhou, X. Jia, and Q. Ouyang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.138301 88, 138301 (2002).
13. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2130 74, 2130 (1995);
14. S. Alonso, I. Sendina-Nadal, V. Perez-Munuzuri, J. M. Sancho, and F. Sagues, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.078302 87, 078302 (2001);
15. V. Beato, I. Sendina-Nadal, I. Gerdes, and H. Engel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.035204 71, 035204 (R) (2005).
16. P. S. Landa, A. A. Zaikin, V. G. Ushakov, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.4809 61, 4809 (2000);
17. A. Zaikin and J. Kurths, Chaos CHAOEH 1054-1500 10.1063/1.1380369 11, 570 (2001).
18. A. A. Zaikin and L. Schimansky-Geier, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.4355 58, 4355 (1998).
19. S. S. Riaz, S. Dutta, S. Kar, and D. S. Ray, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00314-1 47, 255 (2005).
20. F. Lesmes, D. Hochberg, F. Morán, and J. Pérez-Mercader, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.238301 91, 238301 (2003).
21. M. G. Clerc, C. Falcon, and E. Tirapegui, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.148302 94, 148302 (2005).
22. X. Sailer, D. Hennig, V. Beato, H. Engel, and L. Schiman sky-Geier, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.056209 73, 056209 (2006).
23. P. Coullet, J. Lega, B. Houchmanzadeh, and J. Lajzerowicz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1352 65, 1352 (1990).
24. P. Coullet and K. Emilson, Physica D PDNPDT 0167-2789 10.1016/0167-2789(92)90154-F 61, 119 (1992).
25. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.5285 59, 5285 (1999).
26. H. K. Park, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86. 1130 86, 1130 (2001).
27. C. Hemming and R. Kapral, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(02)00491-8 168, 10 (2002).
28. I. V. Barashenkov and S. R. Woodford, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.026613 71, 026613 (2005).
29. V. Petrov, Q. Ouyang, and H. L. Swinney, Nature (London) NATUAS 0028-0836 10.1038/41732 388, 655 (1997).
30. A. L. Lin, M. Bertram, K. Martinez, H. L. Swinney, A. Ardelea, and G. F. Carey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4240 84, 4240 (2000);
31. A. L. Lin, A. Hagberg, A. Ardelea, M. Bertram, H. L. Swinney, and E. Meron, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.3790 62, 3790 (2000);
32. A. L. Lin, A. Hagberg, E. Meron, and H. L. Swinney, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.066217 69, 066217 (2004).
33. V. K. Vanag, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.552 86, 552 (2001).
34. M. Bertram, C. Beta, H. H. Rotermund, and G. Ertl, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp0341927 107, 9610 (2003).
35. J. Buceta, K. Lindenberg, and J. M. R. Parrondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.024103 88, 024103 (2002);
36. J. Buceta and K. Lindenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046202 66, 046202 (2002).
37. C. Zhou and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.056210 69, 056210 (2004).
38. L. Yang, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.198303 92, 198303 (2004).
39. K. Zhang, H. Wang, C. Qiao, and Q. Ouyang, Chin. Phys. Lett. CPLEEU 0256-307X 10.1088/0256-307X/23/6/016 23, 1414 (2006).
40. A. Rovinsky and M. Menzinger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.6315 46, 6315 (1992).
41. L. Yang and I. R. Epstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.178303 90, 178303 (2003).
42. J. García-Ojalvo and J. M. Sancho, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.2769 49, 2769 (1994).
43. A. Becker and L. Kramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.955 73, 955 (1994).
44. P. S. Landa, A. A. Zaikin, and L. Schimansky-Geier, Chaos, Solitons Fractals CSFOEH 0960-0779 10.1016/S0960-0779(98)00069-1 9, 1367 (1998).