Analysis,Synchronization And The Application In Secure Communication Of Fractional-order Chen System

Chaos,as a kind of phenomenon which widely exists in the nature,has a great application value in physics,chemistry,engineering and other fields,because of its similar randomness,initial value sensitivity and so on.In recent years,with the application of its noise and wide frequency spectrum characteristics in chaotic security and information encryption,its huge application prospect has been gradually found and has aroused more and more inclusive interest.Fractional order chaotic systems,due to their complex key space,make the higher value of application in secure communication.At present,the control and application of fractional order chaotic systems have attracted more and more attention,but most of them still stay in the simulation stage.This article will mainly discuss the dynamic behavior and control of the fractional order Chen system,give control schemes applied in secure communication,and set up the physical circuit to implement these control schemes,the main work is as follows:1.Utilize time domain-frequency domain response method to give Lyapunov index figure,bifurcation diagram,phase track diagram and poincare section of the fractional order Chen system,and verify the complex dynamic behavior of fractional order Chen system under the specific parameter from the numerical analysis.2.Based on observer design method of synchronization of a class of chaotic systems,and an improved design method of state feedback synchronization,give two synchronous control strategies for the fractional order Chen system,design the synchronization models in the Simulink of Matlab,obtain dynamic simulation graph,and verify the feasibility of synchronous control.3.Based on the above two kinds of synchronous control strategies,using the modified synchronous circuit design method,design two synchronous analog circuits for the fractional order Chen systems in Multisim,and get the results of the circuit experiments,verify the feasibility of the physical circuit.4.Construct two synchronous analog circuits for fractional order Chen system verify the synchronous circuit of synchronous control strategies are practically feasible,and subsequently apply fractional order Chen system in secure communication on basis of the two synchronous circuits and chaos masking technology,the results from the circuits implementation show that the two kinds of synchronization control strategies and their secure communication are all feasible.