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Synchronizing the noise-perturbed Lü chaotic system

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  • Zhang, Yan
  • Chen, Shihua
  • Zhou, Hong

Abstract

In this paper, synchronization between unidirectionally coupled Lü chaotic systems with noise perturbation is investigated theoretically and numerically. Sufficient conditions of synchronization between these noise-perturbed systems are established by means of the so-called sliding mode control method. Some numerical simulations are also included to visualize the effectiveness and the feasibility of the developed approach.

Suggested Citation

  • Zhang, Yan & Chen, Shihua & Zhou, Hong, 2009. "Synchronizing the noise-perturbed Lü chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2475-2482.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2475-2482
    DOI: 10.1016/j.chaos.2007.10.057
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    References listed on IDEAS

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    1. Alasty, Aria & Salarieh, Hassan, 2007. "Nonlinear feedback control of chaotic pendulum in presence of saturation effect," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 292-304.
    2. Nazzal, Jamal M. & Natsheh, Ammar N., 2007. "Chaos control using sliding-mode theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 695-702.
    3. Yan, Zhenya & Yu, Pei, 2007. "Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 419-435.
    4. 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.
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