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Adaptive synchronization of Chua’s circuits with fully unknown parameters

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  • Agiza, H.N.
  • Matouk, A.E.

Abstract

This study addresses adaptive synchronization of the original Chua’s circuit and the modified Chua’s circuit with x∣x∣ when the parameters of the drive system are fully unknown and different with those of the response system. Based on Lyapunov stability theory, the sufficient conditions for the synchronization have been derived theoretically. Numerical simulations are presented to verify that synchronization can be achieved by using this approach.

Suggested Citation

  • Agiza, H.N. & Matouk, A.E., 2006. "Adaptive synchronization of Chua’s circuits with fully unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 219-227.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:219-227
    DOI: 10.1016/j.chaos.2005.05.055
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    References listed on IDEAS

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    1. Bernd Blasius & Amit Huppert & Lewi Stone, 1999. "Complex dynamics and phase synchronization in spatially extended ecological systems," Nature, Nature, vol. 399(6734), pages 354-359, May.
    2. Yassen, M.T., 2005. "Adaptive synchronization of Rossler and Lü systems with fully uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1527-1536.
    3. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
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    Cited by:

    1. Wang, Bo & Wen, Guangjun, 2009. "On the synchronization of uncertain master–slave chaotic systems with disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 145-151.
    2. Escudero, Manuel & Vourkas, Ioannis & Rubio, Antonio, 2020. "Alternative memristor-based interconnect topologies for fast adaptive synchronization of chaotic circuits," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).

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