Depending on double compound synchronization and compound combination synchronization, a new kind of syn- chronization is introduced which is the double compound combination synchronization （DCCS） of eight n-dimensi...Depending on double compound synchronization and compound combination synchronization, a new kind of syn- chronization is introduced which is the double compound combination synchronization （DCCS） of eight n-dimensional chaotic systems. This kind may be considered as a generalization of many types of synchronization. In the communica- tion, based on many of drive and response systems, the transmitted and received signals will be more secure. Using the Lyapunov stability theory and nonlinear feedback control, analytical formulas of control functions are obtained to insure our results. The corresponding analytical expression and numerical treatment are used to show the validity and feasibility of our proposed synchronization scheme. The eight memristor-based Chua oscillators are considered as an example. Other examples can be similarly investigated. The proposed synchronization technique is supported using the MATLAB simula- tion outcomes. We obtain the same results of numerical treatment of our synchronization using simulation observations of our example.展开更多
In this paper,the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied.Firstly,the definition of combin...In this paper,the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied.Firstly,the definition of combination projection synchronization of fractional-order complex dynamic networks is given,and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system.In addition,time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal.Then,based on Lyapunov stability theory and fractional inequality theory,the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors.The controller is easier to realize because there is no time-delay term in the controller.At last,the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.展开更多
文摘Depending on double compound synchronization and compound combination synchronization, a new kind of syn- chronization is introduced which is the double compound combination synchronization （DCCS） of eight n-dimensional chaotic systems. This kind may be considered as a generalization of many types of synchronization. In the communica- tion, based on many of drive and response systems, the transmitted and received signals will be more secure. Using the Lyapunov stability theory and nonlinear feedback control, analytical formulas of control functions are obtained to insure our results. The corresponding analytical expression and numerical treatment are used to show the validity and feasibility of our proposed synchronization scheme. The eight memristor-based Chua oscillators are considered as an example. Other examples can be similarly investigated. The proposed synchronization technique is supported using the MATLAB simula- tion outcomes. We obtain the same results of numerical treatment of our synchronization using simulation observations of our example.
基金supported in part by the National Natural Science Foundation of China(Grant no.61775198,62076222,61903342)Henan Province Science and technology research project(Grant no.222102210059,222102210266,212102310455)。
文摘In this paper,the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied.Firstly,the definition of combination projection synchronization of fractional-order complex dynamic networks is given,and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system.In addition,time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal.Then,based on Lyapunov stability theory and fractional inequality theory,the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors.The controller is easier to realize because there is no time-delay term in the controller.At last,the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.
