| 非线性随机动力系统的稳定性和分岔研究 |
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| 引用本文： | 刘先斌,陈大鹏.非线性随机动力系统的稳定性和分岔研究[J].力学进展,1996,26(4):437-452. |
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| 作者姓名： | 刘先斌 陈大鹏 |
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| 作者单位： | [1]西南交通大学工程力学系 [2]西南交通大学工程科学研究院 |
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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．
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| 关 键 词： | 扩散过程 样本稳定性 随机动力系统 奇异边界 Lyapunov指数 离出问题 随机分岔 |
THE RESEARCHES ON THE STABILITY AND BIFURCATION OF NONLINEAR STOCHASTIC DYNAMICAL SYSTEMS |
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| Liu Xianbin, Chen Qiu, Chen, Dapeng.THE RESEARCHES ON THE STABILITY AND BIFURCATION OF NONLINEAR STOCHASTIC DYNAMICAL SYSTEMS[J].Advances in Mechanics,1996,26(4):437-452. |
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| Authors: | Liu Xianbin Chen Qiu Chen Dapeng |
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| 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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| Keywords: | diffusion process sample stability stochastic dynamical system singular boundary Lyapunov exponent exit problem stochastic bifurcation |
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