A novel one equilibrium hyper-chaotic system generated upon Lü attractor |
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引用本文: | 贾红艳,陈增强,袁著祉.A novel one equilibrium hyper-chaotic system generated upon Lü attractor[J].中国物理 B,2010,19(2):20507-020507. |
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作者姓名: | 贾红艳 陈增强 袁著祉 |
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作者单位: | Department of Automation, Nankai University, Tianjin 300071, China;Department of Automation, Tianjin University of Science and Technology, Tianjin 300222, China;Department of Automation, Nankai University, Tianjin 300071, China;Department of Automation, Nankai University, Tianjin 300071, China |
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基金项目: | Project supported by the National
Natural Science Foundation of China (Grant Nos. 60774088 and
10772135), the Research Foundation from the Ministry of Education of
China (Grant No. 107024) and the Program for New Century Excellent
Talents in University of China (NCET), and the Application Base and
Frontier Technology Project of Tianjin, China (Grant No.
08JCZDJC21900), and the Scientific Research Foundation for the
Returned Overseas Scholars of the State Education Ministry. |
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摘 要: | By introducing an additional state feedback into a three-dimensional autonomous chaotic attractor Lü system, this paper presents a novel four-dimensional continuous autonomous hyper-chaotic system which has only one equilibrium. There are only 8 terms in all four equations of the new hyper-chaotic system, which may be less than any other four-dimensional continuous autonomous hyper-chaotic systems generated by three-dimensional (3D) continuous autonomous chaotic systems. The hyper-chaotic system undergoes Hopf bifurcation when parameter c varies, and becomes the 3D modified Lü system when parameter k varies. Although the hyper-chaotic system does not undergo Hopf bifurcation when parameter k varies, many dynamic behaviours such as periodic attractor, quasi periodic attractor, chaotic attractor and hyper-chaotic attractor can be observed. A circuit is also designed when parameter k varies and the results of the circuit experiment are in good agreement with those of simulation.
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关 键 词: | hyper-chaotic bifurcation circuit implementation Lyapunov exponents |
收稿时间: | 2009-02-27 |
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