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

共 50 条

[41] A Fractional-Order Discrete Noninvertible Map of Cubic Type: Dynamics, Control, and Synchronization
Liu, Xiaojun
Hong, Ling
Yang, Lixin
Tang, Dafeng
[J]. COMPLEXITY, 2020, 2020
[42] On the dynamics and control of a new fractional difference chaotic map
Bendoukha, Samir
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2022, 23 (02) : 299 - 310
[43] On the dynamics of fractional q-deformation chaotic map
Ran, Jie
Li, Yu-Qin
Xiong, Yi-Bin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2022, 424
[44] Colour-image encryption based on 2D discrete wavelet transform and 3D logistic chaotic map
Joshi, Anand B.
Kumar, Dhanesh
Mishra, D. C.
Guleria, Vandana
[J]. JOURNAL OF MODERN OPTICS, 2020, 67 (10) : 933 - 949
[45] Discrete Fractional Henon Map Based on Digital Fractional Order Integrator
Tseng, Chien-Cheng
Lee, Su-Ling
[J]. 2016 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS), 2016, : 595 - 598
[46] On discrete 2D integrable equations of higher order
Adler, V. E.
Postnikov, V. V.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (04)
[47] A novel control method for discrete map chaotic system
Wang, GY
Yu, JB
Gu, TX
[J]. ACTA PHYSICA SINICA, 2001, 50 (12) : 2307 - 2310
[48] A DNA Based Image Steganography using 2D Chaotic Map
Das, Prasenjit
Kar, Nirmalya
[J]. 2014 INTERNATIONAL CONFERENCE ON ELECTRONICS AND COMMUNICATION SYSTEMS (ICECS), 2014,
[49] Comparative study of Image Encryption using 2D Chaotic Map
Kabi, Kunal Kumar
Pradhan, Chittaranjan
Saha, Bidyut Jyoti
Bisoi, Ajay Kumar
[J]. PROCEEDINGS OF THE 2014 INTERNATIONAL CONFERENCE ON INFORMATION SYSTEMS AND COMPUTER NETWORKS (ISCON), 2014, : 105 - 108
[50] A novel control method for discrete map chaotic system
Wang, Gai-Yun
Yu, Jue-Bang
Gu, Tian-Xiang
[J]. Wuli Xuebao/Acta Physica Sinica, 2001, 50 (12):

← 1 2 3 4 5 →