The feedback synchronization of a unified chaotic system

The feedback synchronization of a unified chaotic system with a single parameter has been investigated by using linear, nonlinear and generalized synchronization methods. Theoretical analysis and numerical simulation show that the infimums of the control parameter k of the linear and generalized synchronizations correlate with the maximum Lyapunov exponent of the system. Furthermore, the relationship between the control parameters p, q of the nonlinear feedback synchronization and parameter α of the unified system is deduced. Numerical simulation shows the effectiveness and applicability of these methods.