Cluster synchronization between uncertain networks with different dynamics

Physica A: Statistical Mechanics and its Applications(2017)

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Abstract
We propose a new technique for the cluster synchronization between uncertain networks with different dynamics. Based on the Lyapunov theorem and Lipschitz condition, the network controllers and the identification laws of uncertain parameters are designed, and they are efficiently used to achieve the cluster synchronization and the identification of uncertain parameters. Particularly in our work, the dynamics of nodes in different clusters can be different. And there are not any limitations for the division of the clusters, the number of nodes in each cluster and the connections between nodes.
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Key words
Cluster synchronization,Uncertain network,Parameter identification,Lyapunov theorem
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