Synchronization and Bifurcation of General Complex Dynamical Networks |
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Authors: | SUN Wei-Gang XU Cong-Xiang LI Chang-Pin FANG Jin-Qing |
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Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China;2. China Institute of Atomic Energy, Beijing 102413, China |
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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. |
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Keywords: | complex dynamical networks synchronization bifurcation |
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