Chaos and complexity in a fractional-order higher-dimensional multicavity chaotic map

Lingyu Wang, Kehui Sun, Yuexi Peng and Shaobo He

Chaos, Solitons & Fractals, 2020, vol. 131, issue C

Abstract: In this paper, a fractional-order higher-dimensional multicavity chaotic map is investigated in the Caputo discrete delta’s sense. The numerical formula of discrete fractional-order chaotic map is deduced by utilizing the discrete fractional calculus (DFC). Taking a two-demensional model as an example, the dynamical analysis of the fractional-order multicavity chaotic map is carried out in detail by means of attractors, bifurcation diagrams, permutation entropy complexity and distribution characteristics. Moreover, there is a comparison between the fractional-order system and its integer-order counterpart for their behaviors. It shows that the fractional-order system has richer dynamical behaviors, higher complexity and more uniform distribution characteristics, which means that the fractional-order system has better engineering application.

Keywords: Discrete fractional calculus; Chaos; Multicavity attractor; Permutation entropy (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304345

DOI: 10.1016/j.chaos.2019.109488

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