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Tetrapterous butterfly attractors in modified Lorenz systems

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  • Yu, Simin
  • Tang, Wallace K.S.

Abstract

In this paper, the Lorenz-type tetrapterous butterfly attractors are firstly reported. With the introduction of multiple segment piecewise linear functions, these interesting and complex attractors are obtained from two different modified Lorenz models. This approach are verified in both simulations and experiments.

Suggested Citation

  • Yu, Simin & Tang, Wallace K.S., 2009. "Tetrapterous butterfly attractors in modified Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1740-1749.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1740-1749
    DOI: 10.1016/j.chaos.2008.07.023
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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. Yu, Simin & Tang, Wallace K.S., 2009. "Generation of n×m-scroll attractors in a two-port RCL network with hysteresis circuits," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 821-830.
    3. Ahmad, Wajdi M., 2005. "Generation and control of multi-scroll chaotic attractors in fractional order systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 727-735.
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    Cited by:

    1. Contreras-Reyes, Javier E., 2021. "Chaotic systems with asymmetric heavy-tailed noise: Application to 3D attractors," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. María Pilar Mareca & Borja Bordel, 2017. "Improving the Complexity of the Lorenz Dynamics," Complexity, Hindawi, vol. 2017, pages 1-16, January.

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