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Cluster Synchronization for Linearly Coupled Complex Networks with Identical and Nonidentical Nodes

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  • Yi Zhao
  • Jianwen Feng
  • Jingyi Wang

Abstract

The cluster synchronization of linearly coupled complex networks with identical and nonidentical nodes is studied. Without assuming symmetry, we proved that these linearly coupled complex networks could achieve cluster synchronization under certain pinning control schemes. Sufficient conditions guaranteeing cluster synchronization for any initial values are derived by using Lyapunov function methods. Moreover, the adaptive feedback algorithms are proposed to adjust the control strength. Several numerical examples are given to illustrate our theoretical results.

Suggested Citation

  • Yi Zhao & Jianwen Feng & Jingyi Wang, 2012. "Cluster Synchronization for Linearly Coupled Complex Networks with Identical and Nonidentical Nodes," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-17, August.
    • Handle: RePEc:hin:jnlmpe:534743
    DOI: 10.1155/2012/534743
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    Cited by:

    1. Yanhao Ren & Qiang Luo & Wenlian Lu, 2023. "Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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