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Chaos synchronization in bi-axial magnets modeled by Bloch equation

Author

Listed:
  • Kakmeni, F.M. Moukam
  • Nguenang, J.P.
  • Kofané, T.C.

Abstract

In this paper, we show that the bi-axial magnetic material modeled by Bloch equation admits chaotic solutions for certain set of numerical values assigned to the system parameters and initial conditions. Using the unidirectional linear and nonlinear feedback schemes, we demonstrate that two such systems can be synchronized together. The chaotic synchronization is discussed in the context of complete synchronization which means that the difference of the states of two relevant systems converges to zero.

Suggested Citation

  • Kakmeni, F.M. Moukam & Nguenang, J.P. & Kofané, T.C., 2006. "Chaos synchronization in bi-axial magnets modeled by Bloch equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 690-699.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:3:p:690-699
    DOI: 10.1016/j.chaos.2005.10.094
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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.
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    Cited by:

    1. 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).

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