The fractional-order unified chaotic system: A general cascade synchronization method and application

被引：7
作者：
An, Hongli [1 ]
Feng, Dali [1 ]
Sun, Li [1 ]
Zhu, Haixing [2 ]
机构：
[1] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Peoples R China
[2] Nanjing Forestry Univ, Coll Econ & Management, Nanjing 210037, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 05期
基金：
中国国家自然科学基金;
关键词：
synchronization; chaos synchronization; cascade synchronization; fractional-order unified chaotic system; ADAPTIVE SYNCHRONIZATION; ROSSLER;
D O I：
10.3934/math.2020277
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we extend the cascade synchronization of integer-order chaotic systems to function cascade synchronization of fractional-order chaotic systems. The nice feature of our method is that a fractional-order chaotic system will synchronize to another system via a scaling function. The rich choices of the scaling function turn our method more general than some existing methods. As applications, we take a fractional-order unified chaotic system as an illustrative example to test the effectiveness.
引用
收藏
页码：4345 / 4356
页数：12
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