Synchronization in lattices of coupled non-autonomous Chen system via Lyapunov function

摘要

This paper considers the synchronization of solutions for lattices of the coupled non-autonomous Chen system.By using the Lyapunov function,we show that when the second coupled operator is negative definite self-adjoint and its coefficient is suitable large,the Chen coupled lattice system is bounded dissipative(In particular,the solutions for lattices of the coupled autonomous Chen system converge to zero as t →∞).The synchronization between any two solutions of the coupled Chen system can be slaved only by coefficients in the x-or y-component for the suitably large second coupled coefficient.Finally,some numerical simulations are given.