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发布者览苹:文明办发布时间萝起栓:2019-06-27浏览次数骂茂酵:535


主讲人赎科棘:柳振鑫 大连理工大学教授 博士生导师


时间朴封:2019年7月3日13潦:00


地点陷:3号楼301室


举办单位祟凡:数理学院


主讲人介绍构寺:柳振鑫齿,大连理工大学数学科学学院教授鸽滇、博士生导师陷。主要从事随机动力系统的研究;在随机Conley指标理论胯陡瑰、随机回复运动侯栓、平稳分布全天pk10计划“钱少了还不干呢1第三部分最热闹的时候等方面做出系统深入的研究工作磨看堪。


内容介绍炊完: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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