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Stochastic resonance and MFPT in an asymmetric bistable system driven by correlated multiplicative colored noise and additive white noise

Pei-Ming Shi

School of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, P. R. China

E-mail Address: spm@ysu.edu.cn

Corresponding author.

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Qun Li

School of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, P. R. China

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, and

Dong-Ying Han

School of Vehicles and Energy, Yanshan University, Qinhuangdao, Hebei 066004, P. R. China

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https://doi.org/10.1142/S0217979217501132Cited by:7 (Source: Crossref)

Abstract

This paper investigates a new asymmetric bistable model driven by correlated multiplicative colored noise and additive white noise. The mean first-passage time (MFPT) and the signal-to-noise ratio (SNR) as the indexes of evaluating the model are researched. Based on the two-state theory and the adiabatic approximation theory, the expressions of MFPT and SNR have been obtained for the asymmetric bistable system driven by a periodic signal, correlated multiplicative colored noise and additive noise. Simulation results show that it is easier to generate stochastic resonance (SR) to adjust the intensity of correlation strength $λ$ . Meanwhile, the decrease of asymmetric coefficient $r_{2}$ and the increase of noise intensity are beneficial to realize the transition between the two steady states in the system. At the same time, the twice SR phenomena can be observed by adjusting additive white noise and correlation strength. The influence of asymmetry of potential function on the MFPTs in two different directions is different.

Keywords:

PACS: 05.45.-a, 05.40.-a, 02.50.-r

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References

1. R. Benzi et al., J. Phys. A, Math. Gen. 14, L453 (1981). Crossref, ADS, Google Scholar
2. S. Fauve and F. Heslot, Phys. Lett. 97, 5 (1989). Crossref, Web of Science, Google Scholar
3. K. K. Wang and X. X. Liu, Chin. J. Phys. 52, 903 (2014). Web of Science, Google Scholar
4. B. H. Wang et al., Chin. Phys. B 18, 872 (2009). Crossref, Web of Science, ADS, Google Scholar
5. J. C. Cai, J. Wang and D. C. Mei, Chin. Phys. Lett. 5, 1162 (2007). ADS, Google Scholar
6. J. M. Lannelli et al., Appl. Phys. Lett. 65, 1983 (1994). Crossref, Web of Science, ADS, Google Scholar
7. J. Wang et al., Physica A 368, 31 (2006). Crossref, Web of Science, ADS, Google Scholar
8. M. Grifoni and P. Hänggi, Phys. Rev. Lett. 76, 1611 (1995). Crossref, Web of Science, ADS, Google Scholar
9. M. Grifoni et al., Phys. Rev. E 53, 5890 (1996). Crossref, Web of Science, ADS, Google Scholar
10. V. Petrov, Q. Ouyang and H. L. Swinney, Nature 388, 655 (1997). Crossref, Web of Science, ADS, Google Scholar
11. A. Guderian et al., J. Phys. Chem. 100, 4437 (1996). Crossref, Web of Science, Google Scholar
12. J. K. Douglass et al., Nature 365, 337 (1993). Crossref, Web of Science, ADS, Google Scholar
13. A. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997). Crossref, Web of Science, ADS, Google Scholar
14. Z. Neda, Phys. Rev. E 51, 5315 (1995). Crossref, Web of Science, ADS, Google Scholar
15. H. A. Kramers, Physica 7, 284 (1940). Crossref, ADS, Google Scholar
16. Y. L. Feng and J. Zhou, Int. J. Mod. Phys. B 30, 1650067 (2016). Link, Web of Science, ADS, Google Scholar
17. B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989). Crossref, Web of Science, ADS, Google Scholar
18. B. McNamara, K. Wiesenfeld and R. Roy, Phys. Rev. Lett. 60, 2626 (1988). Crossref, Web of Science, ADS, Google Scholar
19. Y. Jia et al., Phys. Rev. E 63, 031107 (2001). Crossref, Web of Science, ADS, Google Scholar
20. F. Guo, Y. R. Zhou and S. F. Li, Int. J. Mod. Phys. B 25, 3797 (2011). Link, Web of Science, Google Scholar
21. L. Cao, D. J. Wu and S. Z. Ke, Phys. Rev. E 52, 3228 (1995). Crossref, Web of Science, ADS, Google Scholar
22. L. Cao, D. J. Wu and S. Z. Ke, Phys. Rev. E 50, 2496 (1994). Crossref, Web of Science, Google Scholar
23. Q. Li et al., Acta Phys. Sin. 56, 6803 (2007). Crossref, Web of Science, Google Scholar
24. F. Guo et al., Chin. Phys. Lett. 26, 100504 (2009). Crossref, Web of Science, ADS, Google Scholar
25. F. Guo et al., Chin. Phys. 15, 0947 (2006). Crossref, ADS, Google Scholar
26. X. Y. Zhang and W. Xu, Physica A 385, 95 (2007). Crossref, Web of Science, ADS, Google Scholar
27. A. Nikitin, N. G. Stocks and A. R. Bulsara, Phys. Rev. E 68, 016103 (2003). Crossref, Web of Science, ADS, Google Scholar
28. A. Nikitin and N. G. Stocks, Phys. Rev. E 76, 041138 (2007). Crossref, Web of Science, ADS, Google Scholar
29. C. A. Kitio Kwuimy, G. Litak and C. Nataraj, Nonlinear Dyn. 80, 491 (2015). Crossref, Web of Science, Google Scholar
30. D. Tan et al., Acta Phys. Sin. 64, 060502 (2015). Crossref, Web of Science, Google Scholar
31. Z. Qiao et al., Phys. Rev. E 94, 052214 (2016). Crossref, Web of Science, ADS, Google Scholar
32. M. E. Inchiosa, A. R. Bulsara and I. Gammaitoni, Phys. Rev. E 55, 4049 (1997). Crossref, Web of Science, ADS, Google Scholar
33. L. Gammaitoni and A. R. Bulsara, Phys. Rev. Lett. 88, 230601 (2002). Crossref, Web of Science, ADS, Google Scholar
34. J. J. Zhang and Y. F. Jin, Acta Phys. Sin. 60, 120501 (2011). Crossref, Web of Science, Google Scholar
35. P. Jung and P. Hänggi, Phys. Rev. A 35, 4464 (1987). Crossref, Web of Science, ADS, Google Scholar
36. Y. F. Jin, W. Xu and X. Meng, Chaos Solitons Fractals 26, 1183 (2005). Crossref, Web of Science, ADS, Google Scholar
37. Y. F. Jin and W. Xu, Chaos Solitons Fractals 23, 275 (2005). Crossref, Web of Science, ADS, Google Scholar