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On the synchronization of identical and non-identical 4-D chaotic systems using arrow form matrix

Author

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  • Hammami, S.
  • Ben Saad, K.
  • Benrejeb, M.

Abstract

Using the Borne and Gentina practical criterion associated with the Benrejeb canonical arrow form matrix, to derive the stability property of dynamic complex systems, a new strategy of control is formulated for chaos synchronization of two identical Lorenz Stenflo systems and two new four-dimensional chaotic systems, namely the Qi chaotic systems. The designed controller ensures that the state variables of both controlled chaotic slave Lorenz Stenflo and Qi systems globally synchronizes with the state variables of the master systems, respectively. It is also shown that Qi system globally synchronizes with Lorenz Stenflo system under the afforded generalized strategy of control. Numerical simulations are carried out to assess the performance of the proposed contributions in the important field of chaotic synchronization.

Suggested Citation

  • Hammami, S. & Ben Saad, K. & Benrejeb, M., 2009. "On the synchronization of identical and non-identical 4-D chaotic systems using arrow form matrix," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 101-112.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:101-112
    DOI: 10.1016/j.chaos.2008.10.038
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    References listed on IDEAS

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    1. Chen, Hsien-Keng, 2005. "Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1049-1056.
    2. Qi, Guoyuan & Du, Shengzhi & Chen, Guanrong & Chen, Zengqiang & yuan, Zhuzhi, 2005. "On a four-dimensional chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1671-1682.
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    Cited by:

    1. Zarouan, Mohamed & Allali, Sofiène & Benrejeb, Mohamed, 2009. "Correlation between the bifurcation diagram structure and the predominant harmonics of an electrical power network response," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 483-491.

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