Research On Chaotic Phenomenon And Synchronization Of Hyper Rabinovich

The characteristics and chaotic synchronization of hyper Rabinovich system aredeeply studied. This article especially researches linear coupled feedbacksynchronization and parameter adjustment of adaptive synchronization about hyperRabinovich system.Firstly, this article briefly introduces the status of the chaotic system, chaoticphenomenon and chaotic synchronization, then summarizes the practical significanceand the research of chaotic systems, at the same time, analyzes general theory of chaoticsystem. This article studies chaotic system which contains the definition of chaos andthe main features of chaos, and chaotic synchronization which contains types andmethods of chaos synchronization and the relationship between chaotic synchronizationand control.Secondly, this article discusses the basic properties of the hyper Rabinovichsystem, and analyzes the dynamic characteristic of the hyper Rabinovich system. Then,it draws one attractor of the hyper Rabinovich by Matlab. According to the Lyapunovexponent and stability theory, the stability of the system is demonstrated.Thirdly, this article researches the synchronization of the hyper Rabinovich system.With the linear coupled feedback synchronization of the hyper Rabinovich system, itdiscusses the general mathematical description, and propounds the linear feedbackcontrol methods. Then it designs suitable coefficients and gives the relevant theoreticalproof and numerical simulation, and analyzes the stability of the error system. With theparameter adjustment of adaptive synchronization of the hyper Rabinovich system, itdiscusses adaptive synchronization methods of certain and uncertain parameters, andgives two kinds of synchronous methods. Computer simulation shows this method is operable.Finally, after summarizing this paper, this article makes prospects of the hyperRabinovich system and chaotic system.