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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．Abstract: 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.
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