The Analysis of the Synchronization Condition of Linearly Coupled Chaotic System

Describe the problem of chaos synchronization with precise mathematic theory, and in addition convert it to the analyze on the stability of the differential equations. Chen´s system which is attached to the Lorenz´s group has been introduced as the typical system, at the same time discusses the stability of the linear coupled chaotic system. Moreover a theorem which consists of the sufficient qualification attaining to the chaotic synchronization has been presented and in spite of this the paper also gives the detailed prove of the theorem. Avail the qualification discussed above, a method of identifying the coupled parameter is also given. Eventually, the conclusion of the simulation proves the valid of the theorem, besides, demonstrates the synchronization phenomenon of coupled system under different ways