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Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters

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  • Sun, Yonghui
  • Cao, Jinde

Abstract

This paper investigates adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters. Based on Lyapunov stability theory, the general expression of the suitable nonlinear adaptive synchronization controller is developed. At the same time, the noise-perturbed update laws of parameters are proposed to guarantee the synchronization of two different unknown chaotic systems. Theoretical analysis and numerical simulations on adaptive synchronization between Rössler system and noise-perturbed Chua's circuits, Lorenz system and noise-perturbed Chen system with fully unknown parameters show the efficiency of the proposed adaptive scheme.

Suggested Citation

  • Sun, Yonghui & Cao, Jinde, 2007. "Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 253-265.
    • Handle: RePEc:eee:phsmap:v:376:y:2007:i:c:p:253-265
    DOI: 10.1016/j.physa.2006.10.039
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    1. 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:

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    2. Yanhao Ren & Qiang Luo & Wenlian Lu, 2023. "Synchronization Analysis of Linearly Coupled Systems with Signal-Dependent Noises," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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