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

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  • 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, Hindawi, vol. 2012, pages 1-14, July.
    • Handle: RePEc:hin:jnlaaa:378457
    DOI: 10.1155/2012/378457
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    Cited by:

    1. Karthikeyan Rajagopal & Suresh Kumarasamy & Sathiyadevi Kanagaraj & Anitha Karthikeyan, 2022. "Infinitely coexisting chaotic and nonchaotic attractors in a RLC shunted Josephson Junction with an AC bias current," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-9, September.
    2. C. O. A. Osseni & A. V. Monwanou, 2022. "Identical and reduced-order synchronizations of some Josephson junctions model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(12), pages 1-13, December.

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