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Chaos synchronization of nonlinear Bloch equations

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  • Park, Ju H.

Abstract

In this paper, the problem of chaos synchronization of Bloch equations is considered. A novel nonlinear controller is designed based on the Lyapunov stability theory. The proposed controller ensures that the states of the controlled chaotic slave system asymptotically synchronizes the states of the master system. A numerical example is given to illuminate the design procedure and advantage of the result derived.

Suggested Citation

  • Park, Ju H., 2006. "Chaos synchronization of nonlinear Bloch equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 357-361.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:2:p:357-361
    DOI: 10.1016/j.chaos.2005.03.047
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Controlling chaotic systems via nonlinear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1049-1054.
    2. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
    3. Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    4. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
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    Cited by:

    1. Zhao, Min & Yu, Hengguo & Zhu, Jun, 2009. "Effects of a population floor on the persistence of chaos in a mutual interference host–parasitoid model," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1245-1250.
    2. Noorani, M.S.M. & Hashim, I. & Ahmad, R. & Bakar, S.A. & Ismail, E.S. & Zakaria, A.M., 2007. "Comparing numerical methods for the solutions of the Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1296-1304.
    3. Park, Ju H., 2007. "Adaptive modified projective synchronization of a unified chaotic system with an uncertain parameter," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1552-1559.
    4. Mossa Al-sawalha, M. & Noorani, M.S.M., 2009. "A numeric–analytic method for approximating the chaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1784-1791.
    5. Baishya, Chandrali & Premakumari, R.N. & Samei, Mohammad Esmael & Naik, Manisha Krishna, 2023. "Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Park, Ju H., 2007. "Adaptive controller design for modified projective synchronization of Genesio–Tesi chaotic system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1154-1159.

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