Amplitude control approach for chaotic signals

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• 作者：Chunbiao Li (1) (2) (3)
  J. C. Sprott (2)
  
• 关键词：Amplitude control ; Lyapunov exponent spectrum ; Lorenz system
• 刊名：Nonlinear Dynamics
• 出版年：2013
• 出版时间：August 2013
• 年：2013
• 卷：73
• 期：3
• 页码：1335-1341
• 全文大小：700KB
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• 作者单位：Chunbiao Li (1) (2) (3)
  J. C. Sprott (2)
  
  1. Engineering Technology Research and Development Center of Jiangsu Circulation Modernization Sensor Network, Jiangsu Institute of Economics and Trade Technology, 104 Shimenkan St., Guanghua Rd., Nanjing, 210007, China
  2. Department of Physics, University of Wisconsin鈥揗adison, Madison, WI, 53706, USA
  3. School of Information Science and Engineering, Southeast University, Nanjing, 210096, China
  

文摘

A general approach based on the introduction of a control function for constructing amplitude-controllable chaotic systems with quadratic nonlinearities is discussed in this paper. We consider three control regimes where the control functions are applied to different coefficients of the quadratic terms in a dynamical system. The approach is illustrated using the Lorenz system as a typical example. It is proved that wherever control functions are introduced, the amplitude of the chaotic signals can be controlled without altering the Lyapunov exponent spectrum.