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

被引：0

作者：

Higazy, M. ^{[1
,2
]}

Selvam, George Maria ^{[3
]}

Janagaraj, R. ^{[4
]}

机构：

[1] Taif Univ, Coll Sci, Dept Math, At Taif 21944, Saudi Arabia

[2] Menoufia Univ, Dept Phys & Engn Math, Fac Elect Engn, Menoufia 32952, Egypt

[3] Sacred Heart Coll, PG & Res Dept Math, Tirupattur 635601, Tamil Nadu, India

[4] Karpagam Acad Higher Educ, Fac Engn, Dept Math, Coimbatore 641021, Tamil Nadu, India

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 08期

关键词：

Discrete Fractional Calculus; Ushiki Map; Discrete Chaos; Control; Synchronization; SYNCHRONIZATION;

D O I：

10.1142/S0218348X21400326

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

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