Adaptive synchronisation of fractional-order chaotic systems

被引：32

作者：

Zhang Ruo-Xun ^{[1
,2
,3
]}

Yang Shi-Ping ^{[1
,2
]}

机构：

[1] Hebei Normal Univ, Coll Phys Sci & Informat Engn, Shijiazhuang 050016, Peoples R China

[2] Hebei Adv Thin Films Lab, Shijiazhuang 050016, Peoples R China

[3] Xingtai Univ, Coll Elementary, Xingtai 054001, Hebei Province, Peoples R China

来源：

CHINESE PHYSICS B | 2010年 / 19卷 / 02期

关键词：

new stability theory; fractional-order chaotic system; adaptive synchronisation; CHUAS SYSTEM; CHEN SYSTEM; DYNAMICS; HYPERCHAOS;

D O I：

10.1088/1674-1056/19/2/020510

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new stability theory of nonlinear dynamic systems is proposed, and a novel adaptive synchronisation method is presented for fractional-order chaotic and hyperchaotic systems based on the theory described in this paper. In comparison with previous methods, not only is the present control scheme simple but also it employs only one control strength, converges very fast, and it is also suitable for a large class of fractional-order chaotic and hyperchaotic systems. Moreover, this scheme is analytical and simple to implement in practice. Numerical and circuit simulations are used to validate and demonstrate the effectiveness of the method.

引用

页数：7

共 25 条

[1] Chaos in fractional-order autonomous nonlinear systems [J].