A novel four-wing chaotic attractor generated from a three-dimensional quadratic autonomous system
Dong En-Zeng(董恩增)a)† , Chen Zai-Ping(陈在平)a), Chen Zeng-Qiang(陈增强)b), and Yuan Zhu-Zhi(袁著祉)b)
a Department of Automation, Tianjin University of Technology, Tianjin 300484, China; b Department of Automation, Nankai University, Tianjin 300071, China
Abstract This paper presents a new 3D quadratic autonomous chaotic system which contains five system parameters and three quadratic cross-product terms, and the system can generate a single four-wing chaotic attractor with wide parameter ranges. Through theoretical analysis, the Hopf bifurcation processes are proved to arise at certain equilibrium points. Numerical bifurcation analysis shows that the system has many interesting complex dynamical behaviours; the system trajectory can evolve to a chaotic attractor from a periodic orbit or a fixed point as the proper parameter varies. Finally, an analog electronic circuit is designed to physically realize the chaotic system; the existence of four-wing chaotic attractor is verified by the analog circuit realization.
Received: 12 December 2008
Revised: 16 March 2009
Accepted manuscript online:
PACS:
05.45.Pq
(Numerical simulations of chaotic systems)
Fund: Project supported by
the National Natural Science Foundation of China(Grant Nos 60774088
and 10772135), the Foundation of the Application Base and Frontier
Technology Research Project of Tianjin, China (Grant Nos
07JCZDJC09600, 08JCZDJC21900 and 08JCZDJC18600) and the Tianjin Key
Laboratory for Control Theory \& Applications in Complicated
Industry
Systems of China.
Cite this article:
Dong En-Zeng(董恩增), Chen Zai-Ping(陈在平), Chen Zeng-Qiang(陈增强), and Yuan Zhu-Zhi(袁著祉) A novel four-wing chaotic attractor generated from a three-dimensional quadratic autonomous system 2009 Chin. Phys. B 18 2680
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