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2018 Volume 27 Issue 8
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Gamal M Mahmoud, Tarek M Abed-Elhameed, Ahmed A Farghaly. 2018: Double compound combination synchronization among eight n-dimensional chaotic systems, Chinese Physics B, 27(8): 160-168. doi: 10.1088/1674-1056/27/8/080502
Citation: Gamal M Mahmoud, Tarek M Abed-Elhameed, Ahmed A Farghaly. 2018: Double compound combination synchronization among eight n-dimensional chaotic systems, Chinese Physics B, 27(8): 160-168. doi: 10.1088/1674-1056/27/8/080502
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Double compound combination synchronization among eight n-dimensional chaotic systems

  • Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

  • Available Online: 01/01/2018
  • 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.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Double compound combination synchronization among eight n-dimensional chaotic systems

  • Available Online: 01/01/2018

Abstract: 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.

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