SYNCHRONIZATION OF COUPLED SYSTEMS TO PERIODIC DIAGONAL SOLUTIONS WITH SYNCHRONIZED ASYMPTOTIC PHASES

Whei-Ching C. Chan; Yun-Qiu Shen

doi:10.11948/2015055

2015 Volume 5 Issue 4

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Whei-Ching C. Chan, Yun-Qiu Shen. SYNCHRONIZATION OF COUPLED SYSTEMS TO PERIODIC DIAGONAL SOLUTIONS WITH SYNCHRONIZED ASYMPTOTIC PHASES[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 721-730. doi: 10.11948/2015055

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Whei-Ching C. Chan, Yun-Qiu Shen. SYNCHRONIZATION OF COUPLED SYSTEMS TO PERIODIC DIAGONAL SOLUTIONS WITH SYNCHRONIZED ASYMPTOTIC PHASES[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 721-730. doi: 10.11948/2015055

SYNCHRONIZATION OF COUPLED SYSTEMS TO PERIODIC DIAGONAL SOLUTIONS WITH SYNCHRONIZED ASYMPTOTIC PHASES

1 Department of Mathematics, Tamkang University, Taiwan 251, R. O. C;
2 Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA

Abstract

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.
- Periodic solutions /
- coupled systems /
- periodic diagonal solutions /
- variational systems /
- characteristic multipliers /
- synchronized asymptotical phases
MSC: 34D06;34C15;34C25;37C27

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References

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