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Chaos in a 5-D hyperchaotic system with four wings in the light of non-local and non-singular fractional derivatives

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  • Bonyah, Ebenezer

Abstract

A new 5-D hyperchaotic system with four wings is studied in the light of the newly introduced operator by Atangana and Baleanu with non-local and non-singular fading memory. The basic properties and stability analysis are studied. Picard–Lindelof method is used to examine the existence and uniqueness of solutions of the new 5-D hyperchaotic system with four wings. The numerical simulation results depict a new chaotic behaviours with the ABC numerical scheme.

Suggested Citation

  • Bonyah, Ebenezer, 2018. "Chaos in a 5-D hyperchaotic system with four wings in the light of non-local and non-singular fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 316-331.
    • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:316-331
    DOI: 10.1016/j.chaos.2018.09.034
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    References listed on IDEAS

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    1. Abdon Atangana & S. C. Oukouomi Noutchie, 2013. "Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, May.
    2. Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
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    Cited by:

    1. Chien, Fengsheng & Inc, Mustafa & Yosefzade, Hamidreza & Saberi Nik, Hassan, 2021. "Predicting the chaos and solution bounds in a complex dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    2. Ren, Lei & Lin, Ming-Hung & Abdulwahab, Abdulkareem & Ma, Jun & Saberi-Nik, Hassan, 2023. "Global dynamical analysis of the integer and fractional 4D hyperchaotic Rabinovich system," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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