中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1792-1800.doi: 10.1088/1674-1056/18/5/013

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Circuit implementation and multiform intermittency in ahyper-chaotic model extended from Lorenz system

陈增强1, 吴文娟1, 仓诗建2   

  1. (1)Department of Automation, Nankai University, Tianjin 300071, China; (2)Department of Industry Design, Tianjin University of Science and Technology, Tianjin 300222, China;Department of Automation, Nankai University, Tianjin 300071, China
  • 收稿日期:2008-08-25 修回日期:2008-11-26 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos 60774088 and 10772135), the Program for New Century Excellent Talents in University of China (NCET), the Foundation of the Application Base and Frontier Technology R

Circuit implementation and multiform intermittency in a hyper-chaotic model extended from the Lorenz system

Cang Shi-Jian(仓诗建)a)b)†, Chen Zeng-Qiang(陈增强)b), and Wu Wen-Juan(吴文娟)b)   

  1. a Department of Industry Design, Tianjin University of Science and Technology, Tianjin 300222, China; b Department of Automation, Nankai University, Tianjin 300071, China
  • Received:2008-08-25 Revised:2008-11-26 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos 60774088 and 10772135), the Program for New Century Excellent Talents in University of China (NCET), the Foundation of the Application Base and Frontier Technology R

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摘要： 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.

关键词: chaos, circuit implementation, type-I intermittency, crisis-induced intermittency

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.

Key words: chaos, circuit implementation, type-I intermittency, crisis-induced intermittency

中图分类号:  (Electronic circuits)

  • 84.30.-r
05.45.Jn (High-dimensional chaos)