Multistability and hidden attractors in a novel simple 5D chaotic Sprott E system without equilibrium points

被引：1
|
作者：
Al-Azzawi, Saad Fawzi [1 ]
Al-Hayali, Maryam A. [1 ]
机构：
[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul 41002, Iraq
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 05期
关键词：
5D Sprott-E system; Hidden attractor; Multistability; Hybrid projective synchronization; POSITIVE LYAPUNOV EXPONENTS; HYPERCHAOTIC ATTRACTORS; ANTI-SYNCHRONIZATION;
D O I：
10.1080/09720502.2021.1970948
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a novel simple 5D chaotic system with no critical point having hidden attractors which are derived via state feedback control strategy from the known 3D Sprott-E system. The proposed system is different from some well-known hidden chaotic systems, it exhibits chaotic 2-torus and consists of nine terms including only one control parameter, two nonlinear terms. Some dynamical behaviors of this system were analyzed theoretically and numerical simulations such as equilibrium points, Lyapunov exponents, Lyapunov dimension, phase portraits, multistability, and hybrid projective synchronization.
引用
收藏
页码：1279 / 1294
页数：16
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