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Complete inverse chaos synchronization, parameter mismatches and generalized synchronization in the multi-feedback Ikeda model

Author

Listed:
  • Shahverdiev, E.M.
  • Nuriev, R.A.
  • Hashimova, L.H.
  • Huseynova, E.M.
  • Hashimov, R.H.
  • Shore, K.A.

Abstract

We investigate complete inverse synchronization between two uni-directionally coupled chaotic multi-feedback Ikeda systems and find its existence and stability conditions. We also study generalized synchronization between two uni-directionally coupled chaotic non-identical Ikeda models and obtain existence conditions for the generalized synchronization. Numerical simulations fully support the analytical findings. Generalization of the approach to the wider class of non-linear chaotic systems is also presented.

Suggested Citation

  • Shahverdiev, E.M. & Nuriev, R.A. & Hashimova, L.H. & Huseynova, E.M. & Hashimov, R.H. & Shore, K.A., 2008. "Complete inverse chaos synchronization, parameter mismatches and generalized synchronization in the multi-feedback Ikeda model," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 211-216.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:211-216
    DOI: 10.1016/j.chaos.2006.06.026
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    Cited by:

    1. Du, Shengzhi & van Wyk, Barend J. & Qi, Guoyuan & Tu, Chunling, 2009. "Chaotic system synchronization with an unknown master model using a hybrid HOD active control approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1900-1913.
    2. Qin, Weiyang & Yang, Yongfen & Kang, Zhaohui & Ren, Xingmin, 2009. "Controlling chaos and response of dynamical system by synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1466-1473.

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