Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems-Reference-Cited by-同舟云学术

Self-Excited and Hidden Chaotic Attractors in Matouk’s Hyperchaotic Systems

Published:2022-03-08 Issue: Volume:2022 Page:1-14
ISSN:1607-887X
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Almatroud A. Othman¹^ORCID,Matouk A. E.²³^ORCID,Mohammed Wael W.¹⁴^ORCID,Iqbal Naveed¹^ORCID,Alshammari Saleh¹

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

2. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

3. College of Engineering, Majmaah University, Al-Majmaah 11952, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

Self-excited and hidden chaotic attractors are interesting complex dynamical phenomena. Here, Matouk’s hyperchaotic systems are shown to have self-excited and hidden chaotic attractors, respectively. Two case studies of hidden chaotic attractors are provided which are examined with orders 3.08 and 3.992, respectively. Moreover, self-excited chaotic attractors are found in the fractional-order system and its integer-order counterpart. The existence of one-eyed face self-excited chaotic attractors is also reported in this work. Our results show that the fractional derivative affects the appearances of hidden chaotic attractors in this system.

Funder

University of Hail

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2022/6458027.pdf

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