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The Synchronization and Configuration Optimization of Coupled Dynamical Systems with Circular Coupling

MIAO Xue-qing(School of Sciences,Nantong University,Nantong 226007,China)  
Identical coupled nonlinear dynamical systems are the most basic coupled systems.The synchronization problem of the identical coupled dynamical systems with circulant coupling matrices is studied by using matrix eigenvalue theory and the knowledge on solution of linear differential equations.The theorem is obtained which can judge asymptotically stable the synchronization manifold {x x1=x2=…=xn}.The coupling configuration optimization of systems is further investigated.
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