A New Chaotic Flow with Hidden Attractor: The First Hyperjerk System with No Equilibrium

被引：74
作者：
Ren, Shuili [2 ]
Panahi, Shirin [3 ]
Rajagopal, Karthikeyan [4 ,5 ]
Akgul, Akif [6 ]
Viet-Thanh Pham [1 ]
Jafari, Sajad [3 ]
机构：
[1] Ton Duc Thang Univ, Fac Elect & Elect Engn, Modeling Evolutionary Algorithms Simulat & Artifi, Ho Chi Minh City, Vietnam
[2] Xijing Univ, Sch Sci, Xian 710123, Shaanxi, Peoples R China
[3] Amirkabir Univ Technol, Biomed Engn Dept, Tehran 158754413, Iran
[4] Papua New Guinea Univ Technol, Ctr Nonlinear Dynam, Lae, Papua N Guinea
[5] Def Univ, Ctr Nonlinear Dynam, Bishoftu, Ethiopia
[6] Sakarya Univ, Fac Technol, Dept Elect & Elect Engn, Sakarya, Turkey
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2018年 / 73卷 / 03期
关键词：
Chaotic Flows; Equilibrium; Hidden Attractors; FRACTIONAL-ORDER SYSTEMS; DIFFERENTIAL-EQUATIONS; HYPERCHAOTIC SYSTEM; TIME-DELAY; IMPLEMENTATION; CIRCUIT; SYNCHRONIZATION; MULTISTABILITY; APPROXIMATION; REALIZATION;
D O I：
10.1515/zna-2017-0409
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
Discovering unknown aspects of non-equilibrium systems with hidden strange attractors is an attractive research topic. A novel quadratic hyperjerk system is introduced in this paper. It is noteworthy that this non-equilibrium system can generate hidden chaotic attractors. The essential properties of such systems are investigated by means of equilibrium points, phase portrait, bifurcation diagram, and Lyapunov exponents. In addition, a fractional-order differential equation of this new system is presented. Moreover, an electronic circuit is also designed and implemented to verify the feasibility of the theoretical model.
引用
收藏
页码：239 / 249
页数：11
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