Hopf bifurcation analysis and circuit implementation for a novel four-wing hyper-chaotic system

doi:10.1088/1674-1056/22/8/080504

Abstract In the paper, a novel four-wing hyper-chaotic system is proposed and analyzed. A rare dynamic phenomenon is found that this new system with one equilibrium generates a four-wing-hyper-chaotic attractor as parameter varies. The system has rich and complex dynamical behaviors, and it is investigated in terms of Lyapunov exponents, bifurcation diagrams, Poincaré maps, frequency spectrum, and numerical simulations. In addition, the theoretical analysis shows that the system undergoes a Hopf bifurcation as one parameter varies, which is illustrated by the numerical simulation. Finally, an analog circuit is designed to implement this hyper-chaotic system.

Keywords: hyper-chaos four-wing chaotic system one equilibrium Hopf bifurcation circuit implementation

Received: 12 November 2012
Revised: 16 January 2013
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10772135 and 60874028), the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11202148), the Incentive Funding of the National Research Foundation of South Africa (Grant No. IFR2009090800049), the Eskom Tertiary Education Support Programme of South Africa, and the Research Foundation of Tianjin University of Science and Technology.

Corresponding Authors: Xue Wei, Qi Guo-Yuan, Jia Hong-Yan
E-mail: xuewei@tust.edu.cn; qig@tut.ac.za; jiahy@tust.edu.cn

Cite this article:

Xue Wei (薛薇), Qi Guo-Yuan (齐国元), Mu Jing-Jing (沐晶晶), Jia Hong-Yan (贾红艳), Guo Yan-Ling (郭彦岭) Hopf bifurcation analysis and circuit implementation for a novel four-wing hyper-chaotic system 2013 Chin. Phys. B 22 080504

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