Fractional ordered Liu system with time-delay

Abstract

The effect of delay on the chaotic behaviour has been investigated for the first time in the literature. In this regard fractional ordered Liu system [Wang and Wang (2007) [35]] has been chosen as an example. Numerical simulations for various fractional orders corresponding to different values of delay have been carried out. It has been demonstrated that the chaotic systems can be transformed into limit cycles or stable orbits with appropriate choice of delay parameter. © 2009 Elsevier B.V. All rights reserved.