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研究了噪声交叉关联时间对Logistic 系统亚稳态稳定性的影响.利用最陡下降法导出了系统亚稳态到稳态的平均第一通过时间的表达式. 数值计算结果表明:内噪声、外噪声、内外噪声的相互关联时间削弱了亚稳态的稳定性,而内外噪声的关联增加了亚稳态的稳定性.
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关键词:
- Logistic模型 /
- 噪声 /
- 相互关联时间 /
- 平均首通时间
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:
- logistic model /
- noise /
- correlated time between noises /
- mean first-passage time
[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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[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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