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2009 Volume 18 Issue 5
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Cang Shi-Jian, Chen Zeng-Qiang, Wu Wen-Juan. 2009: Circuit implementation and multiform intermittency in a hyper-chaotic model extended from the Lorenz system, Chinese Physics B, 18(5): 1792-1800.
Citation: Cang Shi-Jian, Chen Zeng-Qiang, Wu Wen-Juan. 2009: Circuit implementation and multiform intermittency in a hyper-chaotic model extended from the Lorenz system, Chinese Physics B, 18(5): 1792-1800.
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Circuit implementation and multiform intermittency in a hyper-chaotic model extended from the Lorenz system

  • Department of Industry Design, 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

  • Available Online: 30/05/2009
  • Fund Project: Project supported in part by the National Natural Science Foundation of China(Grant 60774088 and 10772135)%the Program for New Century Excellent Talents in University of China%the Foundation of the Application Base and Frontier Technology Research Project of Tianjin of China(Grant 08JCZDJC21900)%the Science and Technology Research Key Project of Education Ministry of China(Grant 107024)
  • This paper presents a non-autonomous hyper-chaotic system, which is formed by adding a periodic driving signal to a four-dimensional chaotic model extended from the Lorenz system. The resulting non-autonomous hyper-chaotic system can display any dynamic behaviour among the periodic orbits, intermittency, chaos and hyper-chaos by controlling the frequency of the periodic signal. The phenomenon has been well demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. Moreover, the system is concrete evidence for the presence of Pomeau-Manneville Type-Ⅰ intermittency and crisis-induced intermittency. The emergence of a different type of intermittency is similarly subjected to the frequency of periodic forcing. By statistical analysis, power scaling laws consisting in different intermittency are obtained for the lifetime in the laminar state between burst states.
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Circuit implementation and multiform intermittency in a hyper-chaotic model extended from the Lorenz system

  • Available Online: 30/05/2009

Abstract: This paper presents a non-autonomous hyper-chaotic system, which is formed by adding a periodic driving signal to a four-dimensional chaotic model extended from the Lorenz system. The resulting non-autonomous hyper-chaotic system can display any dynamic behaviour among the periodic orbits, intermittency, chaos and hyper-chaos by controlling the frequency of the periodic signal. The phenomenon has been well demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. Moreover, the system is concrete evidence for the presence of Pomeau-Manneville Type-Ⅰ intermittency and crisis-induced intermittency. The emergence of a different type of intermittency is similarly subjected to the frequency of periodic forcing. By statistical analysis, power scaling laws consisting in different intermittency are obtained for the lifetime in the laminar state between burst states.

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