A novel four-wing non-equilibrium chaotic system and its circuit implementation

作者

Lin, Yuan;  Wang, Chunhua;  He, Haizhen;     更多内容

期刊:PRAMANA-JOURNAL OF PHYSICS ISSN:0304-4289 , 年:2016 . 卷:86 . 期:4   页码:801-807

语种: English 

原文链接:http://dx.doi.org/10.1007/s12043-015-1118-1

摘要
In this paper, we construct a novel, 4D smooth autonomous system. Compared to the existing chaotic systems, the most attractive point is that this system does not display any equilibria, but can still exhibit four-wing chaotic attractors. The proposed system is investigated through numerical simulations and analyses including time phase portraits, Lyapunov exponents, bifurcation diagram, and Poincar maps. There is little difference between this chaotic system without equilibria and other chaotic systems with equilibria shown by phase portraits and Lyapunov exponents. But the bifurcation diagram shows that the chaotic systems without equilibria do not have characteristics such as pitchfork bifurcation, Hopf bifurcation etc. which are common to the normal chaotic systems. The Poincare maps show that this system is a four-wing chaotic system with more complicated dynamics. Moreover, the physical existence of the four-wing chaotic attractor without equilibria is verified by an electronic circuit.
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关键词
Four-wing;  non-equilibrium;  hidden attractor;  Poincare maps;  circuit implementation
附加关键词:
NO EQUILIBRIA;  ATTRACTOR
作者信息
通讯作者:
     Lin, Y , Hunan Univ, Coll Informat Sci & Engn, Changsha 410082, Hunan, Peoples R China.; Lin, Y , Hunan Inst Engn, Coll Elect & Informat Engn, Xiangtan 411104, Peoples R China.
作者机构:
     [1] [ Lin, Yuan;  Wang, Chunhua;  He, Haizhen;  Zhou, Li Li ]  Hunan Univ, Coll Informat Sci & Engn, Changsha 410082, Hunan, Peoples R China.
     [2] [ Lin, Yuan ]  Hunan Inst Engn, Coll Elect & Informat Engn, Xiangtan 411104, Peoples R China.
作者邮箱:
     linyuan1001@foxmail.com