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.
