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An approach of chaotic generalized synchronization with the space transformation

In terms of the space transformation theory, a new approach of generalized chaos synchronization is developed in the paper. It realizes generalized chaos synchronization by introducing space transformation into GS, in which the new approach takes use of filtering transformation to construct two isomorphic systems to actualize generalized synchronization. Furthermore, the new approach breaks the normal chaotic response system and explores a new approach by using space theory and its transformation. Additionally, its validity and feasibility are proved by simulation between Lorenz chaotic system and Rossler chaotic system with Kalman filtering respectively.