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Synchronization and Bifurcation of General Complex Dynamical Networks
Authors:SUN Wei-Gang  XU Cong-Xiang  LI Chang-Pin  FANG Jin-Qing
Institution:1. Department of Mathematics, Shanghai University, Shanghai 200444, China ;2. China Institute of Atomic Energy, Beijing 102413, China
Abstract:In the present paper, synchronization and bifurcation of general complex dynamical networks are investigated. We mainly focus on networks with a somewhat general coupling matrix, i.e., the sum of each row equals a nonzero constant u. We derive a result that the networks can reach a new synchronous state, which is not the asymptotic limit set determined by the node equation. At the synchronous state, the networks appear bifurcation if we regard the constant u as a bifurcation parameter. Numerical examples are given to illustrate our derived conclusions.
Keywords:complex dynamical networks  synchronization  bifurcation
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