Fractional chaotic maps with q–deformation

Fractional chaotic maps with q–deformation

•A new fractional order chaotic maps generated by introducing q-deformation.•The stability conditions of this discrete system are discussed and given. q–deformation of fractional chaotic maps is investigated in this study. Some deformation results in difference equations or chaotic maps are revisite...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 393; p. 125759
Main Authors: Luo, Cheng, Liu, Bao-Qing, Hou, Hu-Shuang
Format: Journal Article
Language:English
Published: Elsevier Inc 15-03-2021
Subjects:
[formula omitted]–deformation
Chaos
Fractional difference
Stability
Chaos
Stability
Fractional difference
q–deformation
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Summary:•A new fractional order chaotic maps generated by introducing q-deformation.•The stability conditions of this discrete system are discussed and given. 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2020.125759