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From lag synchronization to pattern formation in one-dimensional open flow models

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  • Liu, Zengrong
  • Luo, Jigui

Abstract

In this paper, the relation between synchronization and pattern formation in one-dimensional discrete and continuous open flow models is investigated in detail. Firstly a sufficient condition for globally asymptotical stability of lag/anticipating synchronization among lattices of these models is proved by analytic method. Then, by analyzing and simulating lag/anticipating synchronization in discrete case, three kinds of pattern of wave (it is called wave pattern) travelling in the lattices are discovered. Finally, a proper definition for these kinds of pattern is proposed.

Suggested Citation

  • Liu, Zengrong & Luo, Jigui, 2006. "From lag synchronization to pattern formation in one-dimensional open flow models," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1198-1205.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:5:p:1198-1205
    DOI: 10.1016/j.chaos.2005.08.200
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    References listed on IDEAS

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    1. Masoller, C. & Zanette, Damián H., 2003. "Different regimes of synchronization in nonidentical time-delayed maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 361-370.
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    3. Li, Chunguang & Xu, Hongbing & Liao, Xiaofeng & Yu, Juebang, 2004. "Synchronization in small-world oscillator networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 359-364.
    4. 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.
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    Cited by:

    1. Guo, Wanli & Chen, Shihua & Zhou, Hong, 2009. "A simple adaptive-feedback controller for chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 316-321.
    2. El-Dessoky, M.M., 2009. "Synchronization and anti-synchronization of a hyperchaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1790-1797.
    3. Zhang, Yan & Chen, Shihua & Zhou, Hong, 2009. "Synchronizing the noise-perturbed Lü chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2475-2482.

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