A Chaotic System with Different Families of Hidden Attractors

被引：48
作者：
Viet-Thanh Pham [1 ]
Volos, Christos [2 ]
Jafari, Sajad [3 ]
Vaidyanathan, Sundarapandian [4 ]
Kapitaniak, Tomasz [5 ]
Wang, Xiong [6 ]
机构：
[1] Hanoi Univ Sci & Technol, Sch Elect & Telecommun, 01 Dai Co Viet, Hanoi, Vietnam
[2] Aristotle Univ Thessaloniki, Dept Phys, GR-54124 Thessaloniki, Greece
[3] Amirkabir Univ Technol, Dept Biomed Engn, Tehran 158754413, Iran
[4] Vel Tech Univ, Ctr Res & Dev, Chennai 600062, Tamil Nadu, India
[5] Lodz Univ Technol, Div Dynam, Stefanowskiego 1-15, PL-90924 Lodz, Poland
[6] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2016年 / 26卷 / 08期
关键词：
Chaos; equilibrium; hidden attractor; phase portrait; circuit implementation; CIRCUIT-DESIGN; FLOWS; SYNCHRONIZATION;
D O I：
10.1142/S021812741650139X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The presence of hidden attractors in dynamical systems has received considerable attention recently both in theory and applications. A novel three-dimensional autonomous chaotic system with hidden attractors is introduced in this paper. It is exciting that this chaotic system can exhibit two different families of hidden attractors: hidden attractors with an infinite number of equilibrium points and hidden attractors without equilibrium. Dynamical behaviors of such system are discovered through mathematical analysis, numerical simulations and circuit implementation.
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页数：9
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