Synchronizing chaotic map from the two-valued symbolic sequences

An approach is proposed to synchronize chaotic map from the two-valued symbolic sequences generated by this chaotic map. In this approach, a synchronization model by using variable feedback control is firstly constructed. Then the variable in the control function is replaced by Gray Ordering Number (GON), which is computed from the two-valued symbolic sequences. The substitute model can achieve synchronization by using GON feedback control. Numerical results demonstrated by Logistic map show that this approach can achieve identical synchronization in a short time with parameter known, and achieve generalized synchronization with parameter unknown.