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Synchronization in complex delayed dynamical networks with impulsive effects

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  • Zhou, Jin
  • Xiang, Lan
  • Liu, Zengrong

Abstract

The present paper is mainly concerned with the issues of synchronization dynamics of complex delayed dynamical networks with impulsive effects. A general model of complex delayed dynamical networks with impulsive effects is formulated, which can well describe practical architectures of more realistic complex networks related to impulsive effects. Based on impulsive stability theory on delayed dynamical systems, some simple but less conservative criterion are derived for global synchronization of such dynamical network. It is shown that synchronization of the networks is heavily dependent on impulsive effects of connecting configuration in the networks. Furthermore, the theoretical results are applied to a typical SF network composing of impulsive coupled chaotic delayed Hopfield neural network nodes, and are also illustrated by numerical simulations.

Suggested Citation

  • Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2007. "Synchronization in complex delayed dynamical networks with impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 684-692.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:2:p:684-692
    DOI: 10.1016/j.physa.2007.05.060
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    References listed on IDEAS

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    8. Wu, Quanjun & Zhang, Hua & Xiang, Lan & Zhou, Jin, 2012. "A generalized Halanay inequality on impulsive delayed dynamical systems and its applications," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 56-62.
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    11. Wenhua Xia & Yiping Luo & Bifeng Zhou & Guanghui Liu, 2017. "Exponential Synchronization of a Class of -Coupled Complex Partial Differential Systems with Time-Varying Delay," Complexity, Hindawi, vol. 2017, pages 1-9, October.
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