GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS

被引:8
作者
Wang Ming-Jun [1 ]
Wang Xing-Yuan [2 ]
机构
[1] Dalian Univ, Sch Informat Engn, Dalian 116622, Peoples R China
[2] Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116024, Peoples R China
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 09期
基金
中国国家自然科学基金;
关键词
Fractional order; chaotic system; generalized synchronization; LAG SYNCHRONIZATION; CHEN SYSTEM; HYPERCHAOS; STATE; PHASE;
D O I
10.1142/S0217979211058638
中图分类号
O59 [应用物理学];
学科分类号
摘要
In the paper, generalized chaotic synchronization of a class of fractional order systems is studied. Based on the stability theory of linear fractional order systems, a generalized synchronization scheme is presented, and theoretical analysis is provided to verify its feasibility. The proposed method can realize generalized synchronization not only of fractional order systems with same dimension, but also of systems with different dimensions. Besides, the function relation of generalized synchronization can be linear or nonlinear, Numerical simulations show the effectiveness of the scheme.
引用
收藏
页码:1283 / 1292
页数:10
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