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【学术报道】Invariant Manifold for Random Dynamical Systems

yabo登录YINGNANJINGSHIFANDAXUESHUXUEKEXUEXUEYUANYAOQING,MEIGUOBOMINGHANDAXUELVKENINGJIAOSHOUYU2020NIAN6YUE27RISHANGWUZAIyaboDENGLUSHUKEYUANJINXINGXIANSHANGXUESHUJIAOLIUBINGZAIXINGJIANLOU505HUIYISHIZUOTIMUWEI“Invariant Manifold for Random Dynamical Systems”DEXUESHUBAOGAO,SHUXUEKEXUEXUEYUANGAOHONGJUNJIAOSHOUZHUCHILEBENCIBAOGAOHUI,SHUKEYUANBUFENJIAOSHI、YINGYONGSHUXUEBUFENSHUOSHI、BOSHIYANJIUSHENGCANJIALEBENCIBAOGAOHUI。

yabo登录LVKENINGJIAOSHOU,MEIGUOYANGBOHANDAXUESHUXUEXIJIAOSHOU、BOSHISHENGDAOSHI。2017NIANRONGHUOSHOUJIE“ZHANGZHIFENSHUXUECHENGGUOJIANG”,2005NIANHUOZHONGGUOGUOJIAJIECHUQINGNIANKEXUEJIJIN(BLEI)。YANJIUFANGXIANGWEIWUQIONGWEIDONGLIXITONG、FEIXIANXINGPIANWEIFENFANGCHENG、SUIJIPIANWEIFENFANGCHENG。DUOCIYINGYAOZAIZHONGYAODEGUOJIXUESHUHUIYISHANGZUODAHUIBAOGAO, ZHUMINGXUESHUQIKAN《J. Differential Equations》DEZHUBIAN, 《DCDS》,《Adv. Nonlinear Studies》DENGGUOJIZHUMINGXUESHUQIKANBIANWEI,YIFABIAOXUESHULUNWENBASHIYUPIAN,QIZHONGDUOPIANKANFAYUSHIJIESHUXUEYILIUZAZHI。

报告会开始,吕教授首先阐述了随机动力系统的发展历史,通过一个简单的例子引入不变集的概念。接着吕教授介绍了与随机动力系统局部理论稳定、不稳定、中心流形相关学者所做的工作。然后吕教授介绍了一般的双曲不变流形,通过图形直观的展示了双曲不变流形的特征。最后吕教授通过一个能量聚集到边界的例子让yabo登录看到了不变流形实际的应用。

BAOGAODEZUIHOU,ZAIZUODEXUESHENGHELAOSHIJIUBAOGAODENEIRONGTICHULEZIJIDEWENTI,LVJIAOSHOUJICHULEXIANGXIDEJIEDA。BAOGAOHUIZAILAOSHIHETONGXUERELIEDEZHANGSHENGZHONGHUASHANGLEYUANMANDEJUHAO。

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    2020NIAN06YUE30RI 10:40

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