Finding Coexisting Attractors using Amplitude Control
Chunbiao Li
School of Electronic & Information Engineering
Nanjing University of Information Science & Technology
Nanjing 210044, China
Department of Engineering Technology, Engineering
Technology Research and Development Center of Jiangsu
Circulation Modernization Sensor Network, Jiangsu
Institute of Commerce, Nanjing 210007, China
Department of Physics, University of Wisconsin-Madison,
Madison, WI 53706, USA
J. C. Sprott
Department of Physics, University of Wisconsin-Madison,
Madison, WI 53706, USA
Received: 25 June 2013 / Accepted: 30 June 2014 / Published
online: 23 July 2014
ABSTRACT
Nonlinear dynamical systems often have multiple stable states
and thus can harbor coexisting and hidden attractors that may
pose an inconvenience or even hazard in practical applications.
Amplitude control provides one method to detect these coexisting
attractors, and it explains the unpredictable and irreproducible
behavior that sometimes occurs in carefully engineered systems.
In this paper, two regimes of amplitude control are described to
illustrate the method for detecting multistability and possible
coexisting or hidden attractors.