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

Pramana

He Haizhen¹  Zhou Li Li¹  Lin Yuan1²  Wang Chunhua¹ 

[1] College of Information Science and Engineering, Hunan University, Changsha 410082, China$$;College of Electrical and Information Engineering, Hunan Institute of Engineering, Xiangtan 411104, China$$

关键词: Four-wing;    non-equilibrium;    hidden attractor;    Poincaré maps;    circuit implementation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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 Poincaré maps. There is little difference between this chaotic system withoutequilibria 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.

【 授权许可】

Unknown