Chaos control of a new chaotic dynamical system and its application

Abstract

This paper was devoted to study the problem of controlling chaos in a new chaotic dynamical system. The conclusions were applied to detecting the frequency of a weak signal. Two different methods of control, proportional differential control (PD control) and time-delayed feedback, were used to suppress chaos. When k2 >, the system at the equilibrium was stable with PD control method. The conditions to control system from chaos to stable were given with time-delayed feedback method. Numerical simulations were presented to show these results. © 2013 Springer Science+Business Media.