报告题目：Dynamics and Numerical Approximation of (Q,τ) Rotating Periodic Solutions in Distribution for SDEs

报告人：周锦慧副教授南京工业大学

报告时间：2026年10月21日下午19:00-20:00

报告地点：线上腾讯会议：920-365-021

校内联系人：邹永魁邮箱[email protected]

报告摘要：This report investigates the dynamics of a (Q,τ) rotating periodic solution in distribution of stochastic differential equations and study the numerical approximation to its density function via solving a corresponding Fokker-Planck equation. First, the novel concept of Q rotating almost periodic functions. Then, we apply the large deviation principle to study the Q rotating almost periodicity of sample trajectories of a (Q,τ) rotating periodic solution in distribution. We find that most sample trajectories are Q rotating almost periodic and the probability of the rest trajectories is exponentially small. Furthermore, we construct an extending equation on a truncated bounded domain to approximate the (Q,τ) rotating periodic solution of a Fokker-Planck equation. We apply the finite difference method and finite element method to set up a full discretized scheme to approach the den sity function of a (Q,τ) rotating periodic solution in distribution. Finally, we present two numerical experiments to illustrate the theoretical analysis.

报告人简介：周锦慧，南京工业大学数理科学学院学院副教授。2026年获欧洲杯 计算数学博士学位，师从邹永魁教授。主要从事随机微分方程数值解研究，重点基于Fokker-Planck方程构造求解随机微分方程依分布周期解和依分布旋转周期解的数值逼近框架，基于Fokker-Planck方程构造平均场随机微分方程的数值方法。近年来在Numerical Algorithms, Discrete and Continuous Dynamical Systems - Series B Communications in Computational Physics等期刊发表多篇学术论文。