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发布者毛蒙聘:文明办作者幕肆唇:发布时间喂:2019-06-27浏览次数乃蟹:593


主讲人丢:柳振鑫 大连理工大学教授 博士生导师


时间梧:2019年7月3日13齐爆:00


地点价假炯:3号楼301室


举办单位尸:数理学院


主讲人介绍蚀呻:柳振鑫睡饺券,大连理工大学数学科学学院教授挎己、博士生导师童欠德。主要从事随机动力系统的研究;在随机Conley指标理论搁绣、随机回复运动掂匙靶、平稳分布等方面做出系统深入的研究工作寂吨。


内容介绍腥臂钞:The Morse decomposition theorem states that a compact invariant set of a given  flow can be decomposed into finite invariant compact subsets and connecting  orbits between them, which is helpful for us to study the inner structure of  compact invariant sets. When dynamical systems are randomly perturbed, by real  or white noise, we show that for finite and infinite dimensional random  dynamical systems, we have the random Morse decomposition; we also construct  Lyapunov function for the decomposition. For deterministic systems, we introduce  the concept of natural order to study the relative stability of Morse sets by  the stochastic perturbation method. We also investigate the stochastic stability  of Morse (invariant) sets under general white noise perturbations when the  intensity of noise converges to zero.

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