Coherence resonance induced by colored noise near Hopf bifurcation

Chaos

Volumn 18, Issue 4, 2008, Pages

  Ma, Juan ^a   Xiao, Tiejun ^a   Hou, Zhonghuai ^a,b   Xin, Houwen ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; COMPUTER SIMULATION; NONLINEAR SYSTEM; OSCILLOMETRY; PROCEDURES; STATISTICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; MODELS, STATISTICAL; NONLINEAR DYNAMICS; OSCILLOMETRY;

EID: 58149348675     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3013178     Document Type: Article

References (21)

1. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
2. P. Hänggi, ChemPhysChem 3, 285 (2002).
3. H. Gang, T. Ditzinger, C. Z. Ning, and H. Haken, Phys. Rev. Lett. 71, 807 (1993).
4. B. Lindner, J. Garcia-Ojalvo, A. Neiman, and L. Schimansky-Geier, Phys. Rep. 392, 321 (2004).
5. A. Pikovsky and J. Kurths, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.78.775 78, 775 (1997); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and F. Moss, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83. 4896 83, 4896 (1999); L. S. Tsimring and A. Pikovsky, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.87.250602 87, 250602 (2001); C. Zhou, J. Kurths, and B. Hu, Phys. Rev. Lett. 87, 098101 (2001).
6. Z. H. Hou and H. W. Xin, J. Chem. Phys. 0021-9606 10.1063/1.1624053 119, 11508 (2003); Y. B. Gong, Z. H. Hou, and H. W. Xin, J. Phys. Chem. B 1089-5647 10.1021/jp0477250 108, 17796 (2004); J. Q. Zhang, Z. H. Hou, and H. W. Xin, ChemPhysChem 5, 1041 (2004).
7. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
8. H. Frauenfelder and P. G. Wolynes, Science 0036-8075 10.1126/science. 4012322 229, 337 (1985); C. M. Newman, J. E. Cohen, and C. Kipnis, Nature (London) 315, 400 (1985).
9. S. Leibler, Nature (London) 370, 412 (1994).
10. P. Hänggi and P. Jung, Adv. Chem. Phys. 89, 239 (1995).
11. B. C. Bag and C. K. Hu, Phys. Rev. E 1063-651X 10.1103/PhysRevE.75.042101 75, 042101 (2007); G. Goswami, P. Majee, P. K. Ghosh, and B. C. Bag, Physica A 374, 549 (2007).
12. P. Hänggi, P. Jung, C. Zerbe, and F. Moss, J. Stat. Phys. 70, 25 (1993).
13. D. Nozaki, D. J. Mar, P. Grigg, and J. J. Collins, Phys. Rev. Lett. 82, 2402 (1999).
14. A. Neiman and W. Sung, Phys. Lett. A 223, 341 (1996).
15. Juan L. Cabrera, J. Gorroogoitia, and F. J. de la Rubia, Phys. Rev. Lett. 82, 2816 (1999).
16. M. A. Fuentes, R. Toral, and H. S. Wio, Physica A 295, 114 (2001).
17. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, New York, 1997).
18. P. Jung, A. Neiman, M. K. N. Afghan, S. Nadkarni, and G. Ullah, New J. Phys. 7, 17 (2005).
19. P. Jung and P. Hänggi, Phys. Rev. Lett. 61, 11 (1988).
20. J. B. Roberts and P. D. Spanos, Int. J. Non-Linear Mech. 21, 111 (1986); A. D. Wentzell and M. I. Freidlin Random Perturbations of Dynamical Systems (Springer, New York, 1998).
21. Z. H. Hou, T. J. Xiao, and H. W. Xin, ChemPhysChem 7, 1520 (2006).