The effects of correlated time between noises on stability of unstable state in Logistic system

Yang Lin-Jing; Dai Zu-Cheng

doi:10.7498/aps.61.100509

Abstract

The effects of correlated time between noises on the stability of unstable state in the Logistic system are investigated. Using the steepest-descent approximation, the analytic expression for the mean first-passage time from unstable state to stable state is derived. The numerically calculated results indicate that the additive noise, the multiplicative noise and the correlated time between the additive and the multiplicative noises weaken the stability of unstable state, but the correlation between the additive and the multiplicative noises enhances the stability of unstable state.

Keywords:

Authors and contacts

Yang Lin-Jing¹,
Dai Zu-Cheng²

1.
College of Chinese Medicine, Yunnan University of Traditional Chinese Medicine, Kunming 650500, China;
2.
Department of Physics Science and Technology, Kunming University, Kunming 650031, China
Funds: Project supported by the Science Foundation of the Education Bureau of Yunnan Province, China (Grant No. 2010Y503).

References

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[2]	Mei D C, Xie C W, Zhang L 2004 Eur. Phys. J. B 41 107
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[11]	Fox R F 1986 Phys. Rev. A 34 4525
[12]	Hanggi P, Mroczkowski T T, Moss F, McClintock P V E 1985 Phys. Rev. A 32 95
[13]	Gardiner C W 1983 Handbook of Stochastic Methods, Springer Series in Synergetics Vol. 13 (Berlin: Spring-Verlag)
[14]	Du L C, Mei D C 2008 J. Stat. Mechanics 11 11020
[15]	Mei D C, Du L C, Wang C J 2009 J. Stat. Phys. 137 625
[16]	Mei D C, Jia Z L, Wang C J 2011 Phys. Scr. 84 045012

Cited By

[1]	Ai B Q, Wang X J, Liu G T, Liu L G 2003 Phys. Rev. E 67 022903
[2]	Mei D C, Xie C W, Zhang L 2004 Eur. Phys. J. B 41 107
[3]	Cai J C, Wang C J, Mei D C 2007 Chin. Phys. Lett. 24 1162
[4]	Bai C Y, Du L C, Mei D C 2009 Cent. Eur. J. Phys. 7 601
[5]	Wang C J, Wei Q, Zhang B B, Mei D C 2008 Acta Phys. Sin. 57 1375 (in Chinese) [王参军, 魏群, 郑宝兵, 梅冬成 2008 57 1375]
[6]	Wang C J, Wei Q, Mei D C 2008 Phys. Lett. A 372 2176
[7]	Yang L J 2011 Acta Phys. Sin. 60 050502 (in Chinese) [杨林静 2011 60 050502]
[8]	Madureira A J R, Hanggi P, Wio H S 1996 Phys. Lett. A 217 248
[9]	Novikov E A 1964 Zh. Eksp. Teor. Fiz. 47 1919
[10]	Novikov E A 1965 Sov. Phys. JETP 20 1290
[11]	Fox R F 1986 Phys. Rev. A 34 4525
[12]	Hanggi P, Mroczkowski T T, Moss F, McClintock P V E 1985 Phys. Rev. A 32 95
[13]	Gardiner C W 1983 Handbook of Stochastic Methods, Springer Series in Synergetics Vol. 13 (Berlin: Spring-Verlag)
[14]	Du L C, Mei D C 2008 J. Stat. Mechanics 11 11020
[15]	Mei D C, Du L C, Wang C J 2009 J. Stat. Phys. 137 625
[16]	Mei D C, Jia Z L, Wang C J 2011 Phys. Scr. 84 045012

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Catalog

Vol. 61, Issue 10 - 2012-05-20

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