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

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• 作者：YUAN LIN ; CHUNHUA WANG ; HAIZHEN HE ; LI LI ZHOU
• 关键词：Four ; wing ; non ; equilibrium ; hidden attractor ; Poincaré maps ; circuit implementation
• 刊名：Pramana
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：86
• 期：4
• 页码：801-807
• 全文大小：2,627 KB
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• 作者单位：YUAN LIN (1) (2)
  CHUNHUA WANG (1)
  HAIZHEN HE (1)
  LI LI ZHOU (1)
  
  1. College of Information Science and Engineering, Hunan University, Changsha, 410082, China
  2. College of Electrical and Information Engineering, Hunan Institute of Engineering, Xiangtan, 411104, China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Astronomy
  Astrophysics
  
• 出版者：Springer India
• ISSN：0973-7111

文摘

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 Poincaré 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 Poincaré 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.