Chaos control and reduced-order generalized synchronization for the Chen-Liao system

This paper deals with the problem of chaos control and synchronization of the ChenLiao system. From rigorous mathematic justification, the chaotic trajectories of the ChenLiao system are led to a type of points whose four-dimensional coordinates have a particular functional relation among them. Meanwhile, a new synchronization manner, reduced-order generalized synchronization (RGS), is proposed which has the characteristic of having a functional relation between the slave and the partial master systems. It is shown that this new synchronization phenomenon can be realized by a novel technique. Numerical simulations have verified the effectiveness of the proposed scheme.