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New multi-scroll attractors obtained via Julia set mapping

Author

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  • Atangana, Abdon
  • Bouallegue, Ghaith
  • Bouallegue, Kais

Abstract

The Cobra attractor have attracted very recently and the model has been investigated using classical differential operators with integer and non-integer order. The model, in the case of fractional differential operator, is able to replicate indeed the Cobra for some values of fractional order. On the other hand, Julia set has been used for many purposes, in this paper; we develop a procedure that combines some chaotic attractors with the Julia set mapping to obtain multi-roll attractors. Using our algorithm, we obtained for the first time a lung of human being.

Suggested Citation

  • Atangana, Abdon & Bouallegue, Ghaith & Bouallegue, Kais, 2020. "New multi-scroll attractors obtained via Julia set mapping," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    • Handle: RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301247
    DOI: 10.1016/j.chaos.2020.109722
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    References listed on IDEAS

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    1. Bouallegue, Kais & Chaari, Abdessattar & Toumi, Ahmed, 2011. "Multi-scroll and multi-wing chaotic attractor generated with Julia process fractal," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 79-85.
    2. Nasr, Salah & Mekki, Hassen & Bouallegue, Kais, 2019. "A multi-scroll chaotic system for a higher coverage path planning of a mobile robot using flatness controller," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 366-375.
    3. Atangana, Abdon & Mekkaoui, Toufik, 2019. "Trinition the complex number with two imaginary parts: Fractal, chaos and fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 366-381.
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