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Synchronization in complex delayed dynamical networks with impulsive effects |
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| Authors: | Jin Zhou Lan Xiang |
| Institution: | a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, PR China b Department of Physics, School of Science, Shanghai University, Shanghai 200444, PR China c Institute of System Biology, Shanghai University, Shanghai 200444, PR China |
| Abstract: | The present paper is mainly concerned with the issues of synchronization dynamics of complex delayed dynamical networks with impulsive effects. A general model of complex delayed dynamical networks with impulsive effects is formulated, which can well describe practical architectures of more realistic complex networks related to impulsive effects. Based on impulsive stability theory on delayed dynamical systems, some simple but less conservative criterion are derived for global synchronization of such dynamical network. It is shown that synchronization of the networks is heavily dependent on impulsive effects of connecting configuration in the networks. Furthermore, the theoretical results are applied to a typical SF network composing of impulsive coupled chaotic delayed Hopfield neural network nodes, and are also illustrated by numerical simulations. |
| Keywords: | Complex dynamical networks Impulsive effects Time-delays Global synchronization Scale-free network Chaotic delayed Hopfield neural network |
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