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

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  • Wang, Lingyu
  • Sun, Kehui
  • Peng, Yuexi
  • He, Shaobo

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.

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  • Wang, Lingyu & Sun, Kehui & Peng, Yuexi & He, Shaobo, 2020. "Chaos and complexity in a fractional-order higher-dimensional multicavity chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    • Handle: RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304345
    DOI: 10.1016/j.chaos.2019.109488
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