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Control and Synchronization of Chaos in RCL‐Shunted Josephson Junction with Noise Disturbance Using Only One Controller Term

Author

Listed:
  • Di-Yi Chen
  • Wei-Li Zhao
  • Xiao-Yi Ma
  • Run-Fan Zhang

Abstract

This paper investigates the control and synchronization of the shunted nonlinear resistive‐capacitive‐inductance junction (RCLSJ) model under the condition of noise disturbance with only one single controller. Based on the sliding mode control method, the controller is designed to eliminate the chaotic behavior of Josephson junctions and realize the achievement of global asymptotic synchronization of coupled system. Numerical simulation results are presented to demonstrate the validity of the proposed method. The approach is simple and easy to implement and provides reference for chaos control and synchronization in relevant systems.

Suggested Citation

  • Di-Yi Chen & Wei-Li Zhao & Xiao-Yi Ma & Run-Fan Zhang, 2012. "Control and Synchronization of Chaos in RCL‐Shunted Josephson Junction with Noise Disturbance Using Only One Controller Term," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:378457
    DOI: 10.1155/2012/378457
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    References listed on IDEAS

    as
    1. Yang, Xiao-Song & Li, Qingdu, 2006. "A computer-assisted proof of chaos in Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 25-30.
    2. de Paula, Aline Souza & Savi, Marcelo Amorim, 2009. "A multiparameter chaos control method based on OGY approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1376-1390.
    3. Zhao, Yang & Wang, Wei, 2009. "Chaos synchronization in a Josephson junction system via active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 60-66.
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    Cited by:

    1. Yan-Ping Wu & Guo-Dong Wang, 2013. "Synchronization between Fractional‐Order and Integer‐Order Hyperchaotic Systems via Sliding Mode Controller," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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