Synchronization of coupled systems to periodic diagonal solutions with synchronized asymptotic phases
Authors:
Whei-Ching C. Chan and Yunqiu Shen
Abstract:
Using the change of coordinates, parameterization and characteristic multipliers, we prove the synchronization of a class of coupled nonlinear systems with nontrivial periodic solution. The periodic diagonal solution of the coupled system is asymptotically orbitally stable with asymptotic phase.Examples are given to illustrate the theorem.