噪声相互关联时间对Logistic系统亚稳态稳定性的影响

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

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.

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.