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Synchronization in coupled map lattices with small-world delayed interactions

Author

Listed:
  • Li, Chunguang
  • Li, Shaowen
  • Liao, Xiaofeng
  • Yu, Juebang

Abstract

We study the synchronization of coupled map lattices with small-world interactions and coupling delays in this paper. A stability criterion for the synchronized state is derived. Numerical examples are presented to demonstrate the correctness of our theoretical result.

Suggested Citation

  • Li, Chunguang & Li, Shaowen & Liao, Xiaofeng & Yu, Juebang, 2004. "Synchronization in coupled map lattices with small-world delayed interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 365-370.
    • Handle: RePEc:eee:phsmap:v:335:y:2004:i:3:p:365-370
    DOI: 10.1016/j.physa.2003.11.018
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    Citations

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    Cited by:

    1. Liu, Xiwei & Chen, Tianping, 2007. "Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 82-92.
    2. Yu, Wenwu & Cao, Jinde, 2007. "Synchronization control of stochastic delayed neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 252-260.
    3. Atmanspacher, Harald & Scheingraber, Herbert, 2005. "Stabilization of causally and non-causally coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 435-447.
    4. Xiuwen Fu & Yongsheng Yang & Haiqing Yao, 2018. "Analysis on Invulnerability of Wireless Sensor Network towards Cascading Failures Based on Coupled Map Lattice," Complexity, Hindawi, vol. 2018, pages 1-14, January.
    5. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.

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