The Study For Characteristic And Synchronization Of Chaotic And Hyperchaotic Systems

In order to meet the need of practical application, this paper designed a series ofcontinuous chaotic systems and discrete hyperchaotic systems, using active-passive methodand impulsive method in the synchronizing research towards these systems. We put theoreticanalysis, numerical calculation and circuits experiment together during the process ofdiscussion, providing a good base for both theory and experiment for the practical use ofchaotic and hyperchaotic in the reality.Designed and realized Wien bridge oscillator continuous chaotic circuits in continuouschaotic systems. This paper mainly investigated and analyzed RC Wien bridge oscillatorchaotic circuits and LC Wien bridge oscillator chaotic circuits. And get the model of Chua'sChaotic Circuit in RC circuits if proper parameter is given.This paper introduces some typical two-dimensional and three-dimensional discretehyperchaotic systems. We provided theoretical fork conditions for two-dimensional discretehyperchaotic systems , analyzed its state, realized it by circuits experiment, and proved thattheoretic analysis, numerical calculation and circuits experiment are coincident.Active-Passive method has been used in the research of synchronizing continuouschaotic systems. As the main research method, Active-Passive method has been integratedwith theoretic analysis and numerical calculation in RC Wien bridge oscillator chaotic circuits,and we have obtained sufficient and correct results of the problems discussed in the paper.We realize synchronizing chaos and hyperchaos systems by Impulsive method in circuitssystems, based on the basic idea of Active-Passive synchronize method, applyingtwo-dimensional and three-dimensional discrete hyperchaotic systems we designed as themodels. We have obtained sufficient and correct results of the method from theoretic analysisand numerical calculation.The paper provide the theory and experimental guide for the practical application of chaosand hyperchaos. It has much instructive meaning in reality.