报告地点：行健楼526
点击下列腾讯会议链接:
会议链接： //meeting.tencent.com/s/FqjcVUVEbvVG
会议 ID： 163 514 476
邀请人：高洪俊教授
内容摘要：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.