Chaos and combination synchronization of a new fractional-order system with two stable node-foci

被引：13

作者：

Alam Z. ^{[1
]}

Yuan L. ^{[1
,2
]}

Yang Q. ^{[1
]}

机构：

[1] School of Mathematics, South China University of Technology, Guangzhou

[2] School of Mathematics and Information, South China Agricultural University, Guangzhou

来源：

IEEE/CAA Journal of Automatica Sinica | 2016年 / 3卷 / 02期

基金：

中国国家自然科学基金;

关键词：

chaos; combination synchronization; Fractional order system; Lorenz-like system; minimum effective dimension;

D O I：

10.1109/JAS.2016.7451103

中图分类号：

学科分类号：

摘要：

A new fractional-order Lorenz-like system with two stable node-foci has been thoroughly studied in this paper. Some sufficient conditions for the local stability of equilibria considering both commensurate and incommensurate cases are given. In addition, with the effective dimension less than three, the minimum effective dimension of the system is approximated as 2.8485 and is verified numerically. It should be affirmed that the linear differential equation in fractional-order Lorenzlike system appears to be less sensitive to the damping, represented by a fractional derivative, than the two other nonlinear equations. Furthermore, combination synchronization of this system is analyzed with the help of nonlinear feedback control method. Theoretical results are verified by performing numerical simulations. © 2014 Chinese Association of Automation.

引用

页码：157 / 164

页数：7

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