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Volume 5, Number 4, 2015, Pages 721-730                                                                DOI:10.11948/2015055
Synchronization of coupled systems to periodic diagonal solutions with synchronized asymptotic phases
Whei-Ching C. Chan and Yunqiu Shen
Keywords:Periodic solutions, coupled systems, periodic diagonal solutions, variational systems, characteristic multipliers, synchronized asymptotical phases
      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.
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