摘要
在随机动力系统中的分岔──噪声导致的跃迁行为，是一种有别于确定性系统分岔与混沌的独特的非线性复杂现象．本文全面评述非线性随机系统的稳定性问题、离出问题、随机动力系统理论和随机分岔等各项研究的发展历史、基本的思想方法以及主要的研究成果．
Stochastic bifurcation---noise induced transition is a special nonlinear complicated phenomehon which is different from deterministic bifurcations and general chaos. In this paper, a comprehensiye review of the history, elementary ideas and main results of the studies on stability problem, exit problem,bifurcation behavior and dynamical theory of nonlinear stochastic system is presented.
出处
《力学进展》
EI
CSCD
北大核心
1996年第4期437-452,共16页
Advances in Mechanics
基金
国家自然科学基金
关键词
扩散过程
随机动力系统
随机
分岔
非线性
diffusion process
sample stability
stochastic dynamical system
singular boundary
Lyapunov exponent
exit problem
stochastic bifurcation
