中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2825-2829.doi: 10.1088/1009-1963/16/9/055

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Amplitude death in steadily forced chaotic systems

何文平1, 封国林2   

  1. (1)Department of Atmospheric Sciences, Lanzhou University, Lanzhou 730000, China; (2)Key Laboratory of Regional Climate-Environment for Temperate East Asia, \\ Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;Laboratory for Climate Studies, National Climate Center, China Meteorological Administration,
  • 收稿日期:2006-08-26 修回日期:2007-03-10 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~40325015), the National Key Program Development for Basic Research (Grant No~2006CB400503).

Amplitude death in steadily forced chaotic systems

Feng Guo-Lin(封国林)a)b) † and He Wen-Ping(何文平)c)   

  1. a Key Laboratory of Regional Climate-Environment for Temperate East Asia, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; b Laboratory for Climate Studies, National Climate Center, China Meteorological Administration, Beijing 100081, China; c Department of Atmospheric Sciences, Lanzhou University, Lanzhou 730000, China
  • Received:2006-08-26 Revised:2007-03-10 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~40325015), the National Key Program Development for Basic Research (Grant No~2006CB400503).

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摘要： Steady forcing can induce the amplitude death in chaotic systems, which generally exists in coupled dynamic systems. Using the Lorenz system as a typical example, this paper investigates the dynamic behaviours of the chaotic system with steady forcing numerically, and finds that amplitude death can occur as the strength of the steady forcing goes beyond a critical constant.

关键词: amplitude death, Lorenz system, steady forcing

Abstract: Steady forcing can induce the amplitude death in chaotic systems, which generally exists in coupled dynamic systems. Using the Lorenz system as a typical example, this paper investigates the dynamic behaviours of the chaotic system with steady forcing numerically, and finds that amplitude death can occur as the strength of the steady forcing goes beyond a critical constant.

Key words: amplitude death, Lorenz system, steady forcing

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
05.45.Xt (Synchronization; coupled oscillators)