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Synchronization analysis of fractional order drive-response networks with in-commensurate orders

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  • Yang, Li-xin
  • Jiang, Jun

Abstract

This paper is devoted to synchronization analysis of the fractional order drive-response complex network. Firstly, a fractional order drive-response networks model with in-commensurate orders is proposed. Moreover, on the basis of the stability theory of linear fractional-order differential equations and open-loop strategy, we derive a sufficient condition for the stability of the modified projective synchronization behavior in such drive-response complex network. Furthermore, we verify our theoretical results by numerical simulations of drive-response complex network with in-commensurate orders.

Suggested Citation

  • Yang, Li-xin & Jiang, Jun, 2018. "Synchronization analysis of fractional order drive-response networks with in-commensurate orders," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 47-52.
    • Handle: RePEc:eee:chsofr:v:109:y:2018:i:c:p:47-52
    DOI: 10.1016/j.chaos.2018.02.014
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    References listed on IDEAS

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    1. Yang, Lixin & Jiang, Jun & Liu, Xiaojun, 2016. "Cluster synchronization in community network with hybrid coupling," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 82-91.
    2. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
    3. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    4. Yi Chai & Liping Chen & Ranchao Wu, 2012. "Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, January.
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