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Chua's circuit model with Atangana–Baleanu derivative with fractional order

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  • Alkahtani, Badr Saad T.

Abstract

The analysis of circuit employing the Kirchhoff's circuit laws also known as dynamics of Chua's circuit is extended in this work using the newly established fractional derivative with nonlocal and non-singular kernel. A new numerical analysis is presented and used to solve the extended model. Some numerical simulations are done for different values of the fractional order and new chaotic behaviors are obtained.

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  • Alkahtani, Badr Saad T., 2016. "Chua's circuit model with Atangana–Baleanu derivative with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 547-551.
    • Handle: RePEc:eee:chsofr:v:89:y:2016:i:c:p:547-551
    DOI: 10.1016/j.chaos.2016.03.020
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    References listed on IDEAS

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    1. 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.
    2. Chunde Yang & Hao Cai & Ping Zhou, 2016. "Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-5, January.
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    Cited by:

    1. BİLDİK, Necdet & DENİZ, Sinan, 2019. "A new fractional analysis on the polluted lakes system," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 17-24.

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