4.7 Article

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

期刊

CHAOS SOLITONS & FRACTALS
卷 116, 期 -, 页码 316-331

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2018.09.034

关键词

Adams Bashforth Moulton algorithm; Frequency-domain method; Adomian decomposition method; Hyperchaotic system; Mittag-Leffler function

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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. (C) 2018 Elsevier Ltd. All rights reserved.

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