Quantifying stochastic resonance in bistable systems: Response vs residence-time distribution functions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 6, 1998, Pages 6335-6344

  Choi, Mee H ^a   Fox, R F ^a   Jung, P ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001043750     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.6335     Document Type: Article

References (23)

1. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981); JPHAC5
2. R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982)
3. R. Benzi, A. Sutera, G. Parisi, and A. Vulpiani, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 43, 565 (1983).SMJMAP
4. C. Nicolis and G. Nicolis, Tellus 33, 225 (1981).TELLAL
5. The term stochastic resonance has been used before in a different context, e.g., for the intermittent large amplitude peaks caused by constructive multiple scattering in 1D random wave propagation.
6. P. Jung, Phys. Rep. 234, 175 (1993).PRPLCM
7. F. Moss, Stochastic Resonance: From Ice Ages to the Monkey’s Ear, in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia 1994), pp. 205–253.
8. Proceedings of the NATO ARW on Stochastic Resonance in Physics and Biology, edited by F. Moss, A. Bulsara, and M. F. Shlesinger [J. Stat. Phys. 70, 1 (1993)].
9. International Workshop on Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, edited by A. Bulsara, S. Chillemi, L. Kiss, P. V. E. McClintock, R. Mannella, F. Marchesoni, G. Nicolis, and K. Wiesenfeld [Nuovo Cimento D 17, 653 (1995)].
10. S. Fauve and F. Heslot, Phys. Lett. 97A, 5 (1983).PYLAAG
11. B. McNamara, K. Wiesenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).PRLTAO
12. P. Jung and P. Hänggi, Phys. Rev. A 44, 8032 (1991).PLRAAN
13. R. F. Fox and Y. Lu, Phys. Rev. E 48, 3390 (1993).PLEEE8
14. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, and S. Santucci, Phys. Rev. Lett. 62, 349 (1989).PRLTAO
15. T. Zhou, F. Moss, and P. Jung, Phys. Rev. A 42, 3161 (1990).PLRAAN
16. A. Bulsara, T. C. Elston, C. R. Doering, S. B. Lowen, and K. Lindenberg, Phys. Rev. E 53, 3958 (1996).PLEEE8
17. L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74, 1052 (1995).PRLTAO
18. R. Löfstedt and S. N. Coppersmith, Phys. Rev. Lett. 72, 1947 (1994)
19. R. LöfstedtS. N. CoppersmithPhys. Rev. E 49, 4821 (1994).
20. H. Kramers, Physica (Utrecht) 7, 284 (1940).PHYSAG
21. Since the spectral density of the undriven process is defined on the whole frequency axis, the weights of both spikes in the power spectrum at ±Ω have to be added, yielding the factor of 2.
22. Careful analysis of SR in terms of information gain 20 has shown that the information gain is not maximized at the noise strength where SNR assumes a maximum but rather at D0.
23. L. Schimansky-Geier (private communications).