Open AccessCHAOTIC DYNAMICS OF A NOVEL 2D DISCRETE FRACTIONAL ORDER USHIKI MAP
Author(s) -
M. Higazy,
A. George Maria Selvam,
R. Janagaraj
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x21400326
Subject(s) - mathematics , chaotic , bifurcation , order (exchange) , operator (biology) , synchronization (alternating current) , fractional calculus , mathematical analysis , statistical physics , control theory (sociology) , control (management) , computer science , topology (electrical circuits) , nonlinear system , physics , combinatorics , artificial intelligence , biochemistry , chemistry , finance , repressor , quantum mechanics , transcription factor , economics , gene
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.