The existence of the solution for the nonlinear coupled oscillator networks

In this paper, we discuss the existence of solutions for networks of nonlinear parametrically forced oscillators. We deals with one type of nonlinear coupled system from the studying of the honeycomb sandwich plate. Based on the Implicit Function Theorem, the periodic orbit of the coupled system are derived by the hyperbolicity condition. The method of Poincare map is utilized to obtain solutions from the uncoupled case persist for small coupling. These results show that under certain conditions the stability of the solutions for the nonlinear coupled dynamical system are found.