报告人：Jinqiao Duan（大湾区大学）

时间：2024年04月07日 10:00-

地点：理科楼LA103

摘要：A goal of dynamical systems is to explain, quantify and predict complex phenomena in science and engineering. These phenomena include periodic and oscillatory motions, heteroclinic and homoclinic motions, diffusion, transport, and critical transitions. Tipping is a class of phenomena depicting critical or abrupt transitions from one dynamical regime to another. Oftentimes, these small likelihood transitions have significant consequences or devastating impacts. Thus, early detection and prediction of tipping is crucial for understanding and mitigating these phenomena. Stochastic dynamical systems are suitable frameworks for investigating tipping phenomena.

The speaker will present an overview about recent advances in the study of tipping phenomena in some stochastic biodynamical systems, including historical background, techniques, and indicators for early warning or early detection of tipping.

简介：Jinqiao Duan，大湾区大学讲席教授。曾在美国担任终生教授多年，曾任美国国家纯粹与应用数学研究所 (Institute for Pure and Applied Mathematics) 副所长，美国国家基金委数据科学研究所 (Institute for Data, Econometrics, Algorithm and Learning) 轮值所长/分所长。主要研究应用数学，近期研究包括：随机动力系统的有效约化与逼近；非高斯噪声与彩色噪声驱动的动力系统；数学物理中的随机偏微分方程；数据科学与动力系统；生物物理系统与地球物理系统中的随机现象的分析，建模，计算与预估；数据科学与生物医学交叉研究。在其专业领域发表一系列有影响的研究论文，著有《An Introduction to Stochastic Dynamics》(Cambridge University Press, 2015)、《Effective Dynamics of Stochastic Partial Differential Equations》 (with Wei Wang, Elsevier, 2014) 等著作。

邀请人：吴风艳、周国立

欢迎广大师生积极参与！