Bistable Hidden Attractors in a Novel Chaotic System with Hyperbolic Sine Equilibrium

被引：34
作者：
Viet-Thanh Pham [1 ,2 ]
Volos, Christos [3 ]
Kingni, Sifeu Takougang [4 ]
Kapitaniak, Tomasz [2 ]
Jafari, Sajad [5 ]
机构：
[1] Hanoi Univ Sci & Technol, Sch Elect & Telecommun, 01 Dai Co Viet, Hanoi, Vietnam
[2] Lodz Univ Technol, Div Dynam, Stefanowskiego 1-15, PL-90924 Lodz, Poland
[3] Aristotle Univ Thessaloniki, Dept Phys, Thessaloniki 54124, Greece
[4] Univ Maroua, Inst Mines & Petr Ind, Dept Mech & Elect Engn, Maroua, Cameroon
[5] Amirkabir Univ Technol, Dept Biomed Engn, Tehran 158754413, Iran
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2018年 / 37卷 / 03期
关键词：
Chaos; Equilibrium; Hidden attractor; Hyperbolic sine; Bistability; Circuit; NEURAL-NETWORKS; SYNCHRONIZATION; MULTISTABILITY; DIODE; DELAY; COEXISTENCE; FLOWS; OSCILLATIONS; STABILITY; FEEDBACK;
D O I：
10.1007/s00034-017-0611-9
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
For the past 4 years, there has been a rapid rise in the study of chaotic systems with curves of equilibria which are categorized as systems with hidden attractors. There is still significant controversy surrounding the shapes of equilibrium points. This paper presents a new three-dimensional autonomous chaotic system with hyperbolic sine equilibrium. Fundamental dynamical properties and complex dynamics of the system have been discovered by using equilibrium analysis, phase portrait, Poincar, map, bifurcation diagram and Lyapunov spectrum. It is crucial to note that there are bistable hidden chaotic attractors in the introduced system. Furthermore, in order to show the feasibility of the new system with hyperbolic sine equilibrium, its electronic circuit has been implemented.
引用
收藏
页码：1028 / 1043
页数：16
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