Amplitude Control Approach for Chaotic Signals
Chunbiao Li
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
and
School of Information Science and Engineering, Southeast
University, Nanjing 2100996, China
J.C. Sprott
Department of Physics, University of Wisconsin-Madison,
Madison, WI 53706, USA
Received: 15 November 2012 / Accepted: 13 March 2013 / Published
online: 23 March 2013
Abstract
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.
Ref: C. Li and
J. C. Sprott, Nonlinear Dynamics
73, 1335-1341 (2013)