Different Generalized Synchronization Schemes Between Integer-Order and Fractional-Order Chaotic Systems with Different Dimensions

被引：7
作者：
Ouannas A. [1 ]
Karouma A. [2 ]
机构：
[1] Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, Tebessa
[2] Department of Mathematics and Statistics, University of Ottawa, Ottawa
来源：
Differential Equations and Dynamical Systems | 2018年 / 26卷 / 1-3期
关键词：
Chaos; Control schemes; Different dimensions; Fractional-order system; Generalized synchronization; Integer-order system;
D O I：
10.1007/s12591-016-0317-7
中图分类号：
学科分类号：
摘要：
This paper addresses the problem of generalized synchronization (GS) between different dimensional integer-order and fractional-order chaotic systems. Based on the stability theory of linear continuous time dynamical systems, stability results of linear fractional order systems and nonlinear controllers, different criterions are derived to achieve generalized synchronization. The effectiveness of the proposed control schemes are verified by considering two examples: fractional-order chaotic Lorenz and hyperchaotic Lorenz systems and hyperchaotic Chen and fractional-order chaotic Chen systems. © 2016, Foundation for Scientific Research and Technological Innovation.
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页码：125 / 137
页数：12
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