题目：Small-Noise-Induced Metastable Transition of Periodically Perturbed Langevin Systems: Also on Stochastic Hamiltonian Dynamics

报告人：韦屏远 助理研究员 （北京大学北京国际数学研究中心）

地点：致远楼108室

时间：2024年11月20日 15:00-16:00

摘要：In this talk, we will talk about the noise-induced rare transition of periodically driven systems. The maximum likelihood paths (MLPs) are often sought, in order to reveal the transition mechanism. We show that MLPs between metastable periodic states could persist to a small nonautonomous forcing under appropriate conditions. Furthermore, we obtain a closed-form explicit expression for approximating the transition rate change. They are obtained based on standard perturbation techniques for the Euler-Lagrange equation, the Melnikov theory, as well as a linear-theory calculation. Our methods indicate a route for a detailed understanding for the interaction between periodic forcing and noise in rather general systems. Furthermore, we also would like to briefly introduce some basic concepts as well as some potential applications for stochastic Hamiltonian dynamics. This talk is based on the joint works with Ying Chao, Jinqiao Duan & Qiao Huang.

欢迎各位参加！