Abstract
The features of the first-passage-time density function are analyzed theoretically in terms of synchronization between noise and periodic signal in a symmetric double-square-well system. Resonance is demonstrated as a maximum synchronization between them. To have the maximum cooperation between signal and noise, it is shown that the noise strength at resonance should increase linearly with the frequency of the signal. The time scale of the process at resonance is also shown to increase linearly with the period of the signal.
Article PDF
Similar content being viewed by others
REFERENCES
F. Moss, A. Bulsara, and M. Schlesinger, Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, J. Stat. Phys. 70(1/2): (1993).
L. Gammaitoni, P. Hä nggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70:223 (1998).
M. Grifoni and P. Hä nggi, Phys. Rep. 304:229 (1998).
B. McNamara and K. Wiesenfeld, Phys. Rev. A 39:4854 (1989).
Hu Gang, G. Nicolis, and C. Nicolis, Phys. Rev. A 42:2030 (1990).
P. Jung and P. Hä nggi, Europhys. Lett. 8:505 (1989).
P. Jung and P. Hä nggi, Phys. Rev. A 44:8032 (1991).
V. Berdichevsky and M. Gitterman, J. Phys. A: Math. Gen. 29:L447 (1996).
T. Zhou, F. Moss, and P. Jung, Phys. Rev. A 42:3161 (1990).
L. Gammaitoni, F. Marchesoni, M. Martinelli, L. Pardi and S. Santucci, Phys. Lett. A 158:489 (1991).
R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34:10 (1982).
L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74:1052 (1995).
Mee H. Choi, R. F. Fox, and P. Jung, Phys. Rev. E 57:6335 (1998).
G. Giacomelli, F. Marin, and I. Rabbiosi, Phys. Rev. Lett. 82:675 (1999).
M. Mö rsch, H. Risken, and H. D. Vollmer, Z. Physik B 32:245 (1979).
V. Berdichevsky and M. Gitterman, Phys. Rev. E 59:R9 (1999).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dhara, A.K., Banerjee, S.R. Synchronization Under Periodic Modulation of Symmetric Double Square Wells in a Bistable Stochastic System. Journal of Statistical Physics 99, 799–812 (2000). https://doi.org/10.1023/A:1018691428489
Issue Date:
DOI: https://doi.org/10.1023/A:1018691428489