Chaotifing a linear hyperbolic system of partial differential equations by means of nonlinear boundary reflection Original Research Article

We introduced a hyperbolic linear system of partial differential equations with nonlinear boundary conditions, and proved strictly that it is chaotic under some simple assumptions. This can be understood as chaotifing a hyperbolic linear system of partial differential equations with nonlinear boundary conditions. Several examples of simulation are presented. The numerical simulation fits the theoretical analysis well.