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Generalized synchronization of multi-dimension hyperchaotic systems

A new method was presented to realize generalized synchronization (GS) of chaotic systems, by transforming parameter and using feedback control. When a chaotic system was divided into linear and nonlinear parts, the generalized synchronization can be transformed into the stability of synchronous error system, and the existence condition of GS is given. Furthermore, without stability limit of the linear part of the chaotic system, better performance of generalized synchronization can be realized, based on the configuration of GS velocity. More application can be obtained. The multi-dimension hyperchaotic LC system is taken for illustrating and verifying and the results of simulation indicate that the method is provided with favorable applicability.