Pinning impulsive cluster synchronization of complex dynamical network

2020 ◽  
Vol 545 ◽  
pp. 123580 ◽  
Author(s):  
Lingfeng Liu ◽  
Kui Liu ◽  
Hongyue Xiang ◽  
Qian Liu
Keyword(s):  
Cluster Synchronization ◽  
Complex Dynamical Network ◽  
Dynamical Network

scholarly journals Mathematical Model and Cluster Synchronization for a Complex Dynamical Network with Two Types of Chaotic Oscillators

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Zhen Jia ◽  
Guangming Deng
Keyword(s):  
Mathematical Model ◽  
Theoretical Analysis ◽  
Small World ◽  
Cluster Synchronization ◽  
Asymptotically Stable ◽  
Complex Dynamical Network ◽  
External Excitation ◽  
Chaotic Oscillators ◽  
Scale Free ◽  
Dynamical Network

We propose a mathematical model of a complex dynamical network consisting of two types of chaotic oscillators and investigate the schemes and corresponding criteria for cluster synchronization. The global asymptotically stable criteria for the linearly or adaptively coupled network are derived to ensure that each group of oscillators is synchronized to the same behavior. The cluster synchronization can be guaranteed by increasing the inner coupling strength in each cluster or enhancing the external excitation. Theoretical analysis and numerical simulation results show that the external excitation is more conducive to the cluster synchronization. All of the results are proved rigorously. Finally, a network with a scale-free subnetwork and a small-world subnetwork is illustrated, and the corresponding numerical simulations verify the theoretical analysis.

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