Synchronization of fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions

被引：5
|
作者：
Yang, Xiaoyan [1 ]
Liu, Heng [2 ]
Li, Shenggang [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
[2] Huainan Normal Univ, Dept Appl Math, Huainan 232038, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
W - Lambda(t) synchronization; fractional-order system; scaling matrix; chaotic (hyper-chaotic) system; FUNCTION PROJECTIVE SYNCHRONIZATION;
D O I：
10.1186/s13662-017-1399-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By constructing two scaling matrices, i.e., a function matrix Lambda(t) and a constant matrix W which is not equal to the identity matrix, a kind of W - Lambda(t) synchronization between fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions is investigated in this paper. Based on the fractional-order Lyapunov direct method, a controller is designed to drive the synchronization error convergence to zero asymptotically. Finally, four numerical examples are presented to illustrate the effectiveness of the proposed method.
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页数：16
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