Chaotic vibrations of 1D (or 2D) wave equation with composite boundary conditions
报告人:Liangliang Li (Sun Yat-sen University)
时间:2023-02-28 14:00-15:00
地点:腾讯会议,会议号:378793493
摘要:The linear 1D wave equation on an interval with composite boundary conditions is a useful model for studying chaotic behavior in PDE systems. Lots of papers show that interactions of the linear energy injection and the nonlinear self-regulation can cause chaotic oscillations, which can be taken as a reconciliation between linear instability and nonlinear self-regulation. In our series of work, we have shown some different ways to cause chaos, such as the interactions of two similar self-regulating nonlinearities. It is worth mentioning that we have found some necessary conditions for the onset of chaos.