Fractional chaotic maps with q–deformation

Cheng Luo, Bao-Qing Liu and Hu-Shuang Hou

Applied Mathematics and Computation, 2021, vol. 393, issue C

Abstract: q–deformation of fractional chaotic maps is investigated in this study. Some deformation results in difference equations or chaotic maps are revisited first. Fractional differences and q–deformations are then introduced. New fractional chaotic maps are proposed with a q–parameter. Chaotic behaviors are discussed in both one and two dimensional cases, respectively. Finally, stability analysis of generalized Hénon maps is provided and numerical results are demonstrated.

Keywords: Fractional difference; q–deformation; Chaos; Stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:393:y:2021:i:c:s0096300320307128

DOI: 10.1016/j.amc.2020.125759

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