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Combined Synchronization among Three Inconsistent Networks

Author

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  • Yuan Chai
  • Xiaojing Zhu
  • Jingjing Cai

Abstract

A new type of network‐combination synchronization is proposed between two drive networks, small‐world and scale‐free, and one response community network based on the model of multiple system combination. According to Lyapunov Stability Theorem, combined controllers are designed to control three disparate networks with different topological structures. A realistic combination model of multiple inhomogeneous networks and a universal controller are devised in the combination design. The paper is characterized by two parts of one response community network loaded from the combined signals of two drive networks. Numerical simulations are presented to show the full and partial control of the proposed method.

Suggested Citation

  • Yuan Chai & Xiaojing Zhu & Jingjing Cai, 2019. "Combined Synchronization among Three Inconsistent Networks," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:2085318
    DOI: 10.1155/2019/2085318
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    References listed on IDEAS

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    1. Fang Liu & Qiang Song & Jinde Cao & Jianquan Lu, 2014. "Pinning Synchronization of One-Sided Lipschitz Complex Networks," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-8, April.
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