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Conjugate Lorenz-type chaotic attractors

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  • Xiong, Xiaohua
  • Wang, Junwei

Abstract

Based on the generalized Lorenz system, a conjugate Lorenz-type system is introduced, which contains three different chaotic attractors, i.e., the conjugate Lorenz attractor, the conjugate Chen attractor and the conjugate Lü attractor. These new attractors are conjugate, respectively, to the Lorenz attractor, the Chen attractor and the Lü attractor in an algebraic sense. The conjugate attractors may be helpful for finally revealing the geometric structure of the Lorenz attractor.

Suggested Citation

  • Xiong, Xiaohua & Wang, Junwei, 2009. "Conjugate Lorenz-type chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 923-929.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:923-929
    DOI: 10.1016/j.chaos.2007.08.087
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    References listed on IDEAS

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    1. Čelikovský, Sergej & Chen, Guanrong, 2005. "On the generalized Lorenz canonical form," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1271-1276.
    2. Wang, Junwei & Zhou, Tianshou, 2007. "Chaos synchronization based on contraction principle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 163-170.
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    Cited by:

    1. Handa, Himesh & Sharma, B.B., 2016. "Novel adaptive feedback synchronization scheme for a class of chaotic systems with and without parametric uncertainty," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 50-63.

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