CHAOTIC DYNAMICS OF A NOVEL 2D DISCRETE FRACTIONAL ORDER USHIKI MAP

M. Higazy, George Maria Selvam () and R. Janagaraj ()
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M. Higazy: Department of Mathematics, College of Science, Taif University, Taif 21944, Saudi Arabia2Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia, University, Menouf 32952, Egypt
George Maria Selvam: PG and Research Department of Mathematics, Sacred Heart College, Tirupattur 635601, Tamil Nadu, India
R. Janagaraj: Department of Mathematics, Faculty of Engineering, Karpagam Academy of Higher Education, Coimbatore 641021, Tamil Nadu, India

FRACTALS (fractals), 2021, vol. 29, issue 08, 1-11

Abstract: The aim of this paper is to analyze the chaotic dynamics of a novel 2D fractional order discrete Ushiki map using Caputo-like delta fractional difference operator. The dynamical nature of the proposed discrete fractional Ushiki map is examined with evolution of time states and bifurcation diagrams. In addition, control law aimed at stabilizing the proposed map and the synchronization of the discrete fractional order Ushiki map are also presented. Numerical examples are exhibited to demonstrate the validity of the theoretical findings of the study.

Keywords: Discrete Fractional Calculus; Ushiki Map; Discrete Chaos; Control; Synchronization (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21400326

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