Synchronization Of A Class Of Fractional-order Chaotic Systems

Modern big data has officially become an emerging industry in society,and it has a great connection with previous communication problems.With the development of communication technology,it is particularly important to protect communication security.Chaos synchronization is used in physics,chemistry,biology,cryptography,and communication encryption.It has a wide range of applications.There are many previous chaotic synchronization methods.Combined synchronization provides better encryption for communication security.It converts from tradition one-to-one to two-to-one.The uncertainty of chaos means external uncertainty.Interference will affect the synchronization research,so the use of chaotic systems to add time delay can better control the uncertain terms,so the research on it has more practical value.With the research frenzy of fractional-order chaos synchronization,the definition of chaos,the development process and synchronization methods of chaos synchronization,as well as the height of researches at home and abroad,are discussed,and the computing properties of chaos and numerical methods.And in order to keep it approaching stability,three synchronous stability theories are elaborated.Therefore,firstly,this thesis fully researches the synchronization of fractional complex chaotic systems.A combined synchronization of two driving systems and a response system is proposed and divided into two categories: one is combined synchronization of different structures;the other is combined synchronization of the same structures,and two combined synchronizations utilize a control method at the same time.That is the active control method is used to design a controller based on the principle of active control.Finally,the validity and feasibility are verified by numerical simulation using fractional order stability and Lyapunov stability as the theoretical basis.Using the stability theory of fractional order delay,the chaos synchronization problem of a class of economic systems with time delay is studied.Two control methods,active sliding mode control and single sliding mode control,are used.The two methods are compared,and Numerical simulations are used to observe the advantages and disadvantages of the two methods.Finally,the full text is summarized and prospected.