报告题目：Chaotic Systems with van der Pol Boundary Condition

报告时间：2020年7月14日星期二，上午9:00-10.30

报告地点：腾讯会议 ID：790225710

报告人：Zhaosheng Feng 教授，School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley

报告摘要：In this talk, we consider the one-, two-and three-dimensional wave equation on the unit interval [0, 1] with a van der Pol type condition. This nonlinear boundary condition behaves like a van der Pol oscillator, causing the total energy to rise and fall within certain bounds regularly or irregularly. We formulate the problem in terms of an equivalent first order hyperbolic system and use the method of characteristics to derive a nonlinear reflection relation caused by the nonlinear boundary conditions. Qualitative and numerical techniques are developed to tackle the cubic nonlinearities and the chaotic regime is determined. Numerical simulations and visualizations of chaotic vibrations are illustrated by computer graphics.