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

Ebenezer Bonyah

Chaos, Solitons & Fractals, 2018, vol. 116, issue C, 316-331

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.

Keywords: Adams-Bashforth-Moulton algorithm; Frequency-domain method; Adomian decomposition method; Hyperchaotic system; Mittag-Leffler function (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:116:y:2018:i:c:p:316-331

DOI: 10.1016/j.chaos.2018.09.034

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