Synchronization and Bifurcation Analysis in Coupled Networks of Discrete-Time Systems |
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Authors: | SUN Wei-Gang CHEN Yan LI Chang-Pin FANG Jin-Qing |
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Institution: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China
;2. China Institute of Atomic Energy, Beijing 102413, China |
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Abstract: | Synchronization and bifurcation analysis in coupled networks of discrete-time systems are investigated in the present paper. We mainly focus on some special coupling matrix, i.e., the sum of each row equals a nonzero constant u and the network connection is directed. A result that the network can reach a new synchronous state, which is not the asymptotic limit set determined by the node state equation, is derived. It is interesting that the network exhibits bifurcation if we regard the constant u as a bifurcation parameter at the synchronous state. Numerical simulations are given to show the efficiency of our derived conclusions. |
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Keywords: | complex dynamical networks synchronization bifurcation |
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