The Syncronization And Controlling Circuit Experiment Study Of The Delayed Chaos System

Synchronization and controllingof the delayed Logistic system are researched bymeansof circuit experiments and numerical calculation , as well as theoretic analysis . At last , itends with respective reasonable conclusion to problems of the delayed Logistic system.Firstly , based on the theoretic analysis and numerical calculation , chaos characteristicof the delayed Logistic system is obtained , and a route from double period bifurcation tochaos is observed . Secondly , the delayed circuit as well as the delayed Logistic system arerealized in circuit experiment . It brokes the limitations of previous experimental study ,which did not fit the delayed circuit unit . The numerical results is consistent with theexperiment results , and proves the delayed circuit unit as well as chaos characteristic of thedelayed Logistic system effectively . In addition , the methods of variable synchronizationchaos , such as , Synchronization of variable feedback , Coupled two-way synchronizationmethod and Synchronization of disturbance parameters are applied to the system in circuitexperiment , and the numerical calculation results are in good agreement with circuitexperimen tresults.Lastly,chaos controlling with not chfilter feedback signal for the delayedLogistic system is realized in circuit experiment,and the periodic orbits are obtained.This paper studies synchronization and controlling of delayed Logistic system by circuitexperiment and numerical calculation , and undoubtedly the conclusions are very importantand help ful for further researches in such subjects.