Chaos Control and Synchronization of a Three-Mode System of Couette-Taylor Flow

A new chaotic system, which is three-mode truncation of Couette-Taylor flow, is discussed. The globally exponentially attractive set and positive invariant set of the chaotic system are studied via Lyapunov function. Feedback control and adaptive control methods are used to achieve the globally exponentially synchronization. Numerical simulation results show the effectiveness of these methods.