A Chaotic System with Different Shapes of Equilibria

被引：90
作者：
Viet-Thanh Pham [1 ]
Jafari, Sajad [2 ]
Wang, Xiong [3 ]
Ma, Jun [4 ]
机构：
[1] Hanoi Univ Sci & Technol, Sch Elect & Telecommun, 01 Dai Co Viet, Hanoi, Vietnam
[2] Amirkabir Univ Technol, Dept Biomed Engn, Tehran 158754413, Iran
[3] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China
[4] Lanzhou Univ Technol, Dept Phys, Lanzhou 730050, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2016年 / 26卷 / 04期
关键词：
Chaos; equilibrium; hidden attractor; HIDDEN ATTRACTOR; FLOWS;
D O I：
10.1142/S0218127416500693
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Although many chaotic systems have been introduced in the literature, a few of them possess uncountably infinite equilibrium points. The aim of our short work is to widen the current knowledge of the chaotic systems with an infinite number of equilibria. A three-dimensional system with special properties, for example, exhibiting chaotic attractor with circular equilibrium, chaotic attractor with ellipse equilibrium, chaotic attractor with square-shaped equilibrium, and chaotic attractor with rectangle-shaped equilibrium, is proposed.
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页数：5
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