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

Whei-Ching C. Chan | Zendy; Yun-Qiu Shen | Zendy

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

Author(s) -

Whei-Ching C. Chan,

Yun-Qiu Shen

Publication year - 2015

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2015055

Subject(s) - diagonal , synchronization (alternating current) , mathematics , nonlinear system , class (philosophy) , mathematical analysis , exponential stability , diagonally dominant matrix , pure mathematics , control theory (sociology) , topology (electrical circuits) , physics , computer science , combinatorics , geometry , control (management) , quantum mechanics , artificial intelligence , invertible matrix

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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