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

被引：0
|
作者：
Almatroud, A. Othman [1 ]
Matouk, A. E. [2 ,3 ]
Mohammed, Wael W. [1 ,4 ]
Iqbal, Naveed [1 ]
Alshammari, Saleh [1 ]
机构：
[1] Univ Hail, Fac Sci, Dept Math, Hail 2440, Saudi Arabia
[2] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia
[3] Majmaah Univ, Coll Engn, Al Majmaah 11952, Saudi Arabia
[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2022年 / 2022卷
关键词：
EQUILIBRIA; MODEL;
D O I：
10.1155/2022/6458027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：14
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