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

被引:2
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
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
相关论文
共 48 条
[1]  
Abed K.A, 2020, Indonesian J. Electrical Eng. and Com. Sci., V19, P709, DOI 10.11591/ijeecs.v19.i2.pp709-714
[2]  
Abed K.A, 2020, Indonesian Journal of Electrical Engineering and Computer Science, V20, P370, DOI 10.11591/ijeecs.v20.i1
[3]  
Ahmad A.A, 2020, Indonesian Journal of Electrical Engineering and Computer Science, V19, P1055, DOI 10.11591/ijeecs.v19.i2.pp1055-1061
[4]   A Novel 5D Chaotic System with Extreme Multi-stability and a Line of Equilibrium and Its Engineering Applications: Circuit Design and FPGA Implementation [J].
Ahmadi, Atefeh ;
Rajagopal, Karthikeyan ;
Alsaadi, Fuad E. ;
Viet-Thanh Pham ;
Alsaadi, Fawaz E. ;
Jafari, Sajad .
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF ELECTRICAL ENGINEERING, 2020, 44 (01) :59-67
[5]  
Al-Azzawi S. F., 2020, Journal of Physics: Conference Series, V1477, DOI 10.1088/1742-6596/1477/2/022009
[6]  
Al-Azzawi S.F., 2020, Journal of Advanced Research in Dynamical and Control Systems, V12, P548, DOI [10.5373/JARDCS/V12I2/S20201076, DOI 10.5373/JARDCS/V12SP3/20201292]
[7]   Chaos synchronization in a new 6D hyperchaotic system with self-excited attractors and seventeen terms [J].
AL-Azzawi, Saad Fawzi ;
Al-Obeidi, Ahmed S. .
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (05)
[8]   Chaos synchronization of nonlinear dynamical systems via a novel analytical approach [J].
Al-Azzawi, Saad Fawzi ;
Aziz, Maysoon M. .
ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (04) :3493-3500
[9]  
Al-hayali Maryam A., 2021, Journal of Physics: Conference Series, V1879, DOI 10.1088/1742-6596/1879/3/032031
[10]  
Al-Kateeb Zeena N., 2020, Journal of Physics: Conference Series, V1591, DOI 10.1088/1742-6596/1591/1/012019