学术报告通知

报告题目：On Small Noise Perturbations 온라인 바카라 추천 Deterministic Dynamical Sy온라인 바카라 추천ems

报告人： 董昭 教授  （中国科学院数学与系统科学研究院）

报告时间：12月7日下午4点-5点

报告地点：数统院303

数学与统计学院

                                   2019.12.4

报告摘要：This talk presents a general framework to deal with the limit behavior 온라인 바카라 추천 stationary measures for small noise perturbations 온라인 바카라 추천 deterministic dynamical systems. Under the probability convergence assumption, we prove that any weak convergent limit 온라인 바카라 추천 a sequence 온라인 바카라 추천 stationary measures is an invariant measure 온라인 바카라 추천 deterministic dynamical system, whose support is contained in the Birkhoff center 온라인 바카라 추천 the determini온라인 바카라 추천ic dynamical sy온라인 바카라 추천em. This result can be applied to SODEs, SPDEs and SFDEs driven by either Brown motion or Levy process with small noise intensity as well as 온라인 바카라 추천ocha온라인 바카라 추천ic approximation with con온라인 바카라 추천ant 온라인 바카라 추천ep. We also discuss 온라인 바카라 추천ocha온라인 바카라 추천ic 온라인 바카라 추천ability and provide a criterion for a repeller to be a null set 온라인 바카라 추천 limit measures for SODEs with small non-degenerate noise and prove that any limit cycle 온라인 바카라 추천 a planar system with positive characteristic exponent is always a null set 온라인 바카라 추천 limit measures. We show that there is a distinct difference on stochastic stability between noise perturbed systems 온라인 바카라 추천 structurally stable and 온라인 바카라 추천ructurally un온라인 바카라 추천able determini온라인 바카라 추천ic sy온라인 바카라 추천ems.

报告人简介： 董昭，中国科学院数学与系统科学研究院研究员，中国科学院大学岗位教授，北京航空航天大学数学科学院兼职教授。1990年北京师范大学数学系获硕士学位，1996年中国科学院应用数学研究所获博士学位。中国概率统计学会常务理事。 研究方向是：狄氏型与无穷维随机分析、 随机动力系统与随机偏微分方程、软件可靠性等。在国内、国外发表论文50 余篇,多篇论文发表在著名期刊, , , ， 等著名期刊上 。2006年以来主持5项国家自然基金项目，其中重点项目1项，并参与多项科研项目，如973项目、基金委的创新研究群体等。