Open AccessThe effects of correlated time between noises on stability of unstable state in Logistic system
Author(s) -
Yang Lin-Jing,
Dai Zhou
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.100509
Subject(s) - multiplicative function , stability (learning theory) , noise (video) , multiplicative noise , instability , state dependent , state (computer science) , mathematics , correlation , statistical physics , physics , control theory (sociology) , mathematical analysis , mechanics , computer science , algorithm , signal transfer function , machine learning , artificial intelligence , analog signal , image (mathematics) , geometry , control (management) , mathematical economics , digital signal processing , computer hardware
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.