Solutions of Fixed Period in the Nonlinear Wave Equation on Networks

Carlos García-Azpeitia, Wieslaw Krawcewicz, Yanli Lv

The wave equation on network is defined by ${\partial }_{tt}u={\Delta }_{G}u+g(u)$, where $u\in {\mathbb{R}}^n$ and the graph Laplacian ${\Delta }_G$ is an operator on functions on $n$ vertices. We…