Double compound combination synchronization among eight n-dimensional chaotic systems

doi:10.1088/1674-1056/27/8/080502

中国物理B ›› 2018, Vol. 27 ›› Issue (8): 80502-080502.doi: 10.1088/1674-1056/27/8/080502

Double compound combination synchronization among eight n-dimensional chaotic systems

Gamal M Mahmoud, Tarek M Abed-Elhameed, Ahmed A Farghaly

Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

收稿日期:2018-03-21 修回日期:2018-05-16 出版日期:2018-08-05 发布日期:2018-08-05
通讯作者: Gamal M Mahmoud E-mail:gmahmoud@aun.edu.eg

Double compound combination synchronization among eight n-dimensional chaotic systems

Gamal M Mahmoud, Tarek M Abed-Elhameed, Ahmed A Farghaly

Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

Received:2018-03-21 Revised:2018-05-16 Online:2018-08-05 Published:2018-08-05
Contact: Gamal M Mahmoud E-mail:gmahmoud@aun.edu.eg

摘要/Abstract

摘要： Depending on double compound synchronization and compound combination synchronization, a new kind of synchronization 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 communication, 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 simulation outcomes. We obtain the same results of numerical treatment of our synchronization using simulation observations of our example.

关键词: double compound synchronization, compound combination synchronization, chaotic system, Lyapunov stability

Abstract: Depending on double compound synchronization and compound combination synchronization, a new kind of synchronization 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 communication, 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 simulation outcomes. We obtain the same results of numerical treatment of our synchronization using simulation observations of our example.

Key words: double compound synchronization, compound combination synchronization, chaotic system, Lyapunov stability

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)

Gamal M Mahmoud, Tarek M Abed-Elhameed, Ahmed A Farghaly. Double compound combination synchronization among eight n-dimensional chaotic systems[J]. 中国物理B, 2018, 27(8): 80502-080502.

Gamal M Mahmoud, Tarek M Abed-Elhameed, Ahmed A Farghaly. Double compound combination synchronization among eight n-dimensional chaotic systems[J]. Chin. Phys. B, 2018, 27(8): 80502-080502.

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Double compound combination synchronization among eight n-dimensional chaotic systems

Double compound combination synchronization among eight n-dimensional chaotic systems

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