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Chaos synchronization in RCL-shunted Josephson junction via active control

Author

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  • Uçar, Ahmet
  • Lonngren, Karl E.
  • Bai, Er-Wei

Abstract

This paper investigates the synchronization of coupled RCL-shunted Josephson junction that is of interest in high-frequency applications. A nonlinear controller is developed in order to achieve the desired behavior. The synchronization is obtained using the slave–master technique and the controller ensures that the states of the controlled chaotic slave system exponentially synchronize with the state of the master system. Numerical simulations are illustrate and verify the proposed method.

Suggested Citation

  • Uçar, Ahmet & Lonngren, Karl E. & Bai, Er-Wei, 2007. "Chaos synchronization in RCL-shunted Josephson junction via active control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 105-111.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:1:p:105-111
    DOI: 10.1016/j.chaos.2005.09.035
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    References listed on IDEAS

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    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. Bai, Er-Wei & Lonngren, Karl E. & Uçar, Ahmet, 2005. "Secure communication via multiple parameter modulation in a delayed chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1071-1076.
    3. Uçar, Ahmet & Lonngren, Karl E. & Bai, Er-Wei, 2006. "Synchronization of the unified chaotic systems via active control," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1292-1297.
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    Cited by:

    1. Al-Khawaja, Sameer, 2009. "Synchronisation in coupled quantum Hamiltonian superconducting oscillator via a control potential," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1415-1421.
    2. Botha, A.E. & Shukrinov, Yu.M. & Tekić, J., 2022. "Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    3. Elabbasy, E.M. & El-Dessoky, M.M., 2008. "Synchronization of van der Pol oscillator and Chen chaotic dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1425-1435.

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