Chaos synchronization of fractional-order differential systems

被引：63
|
作者：
Li, CP [1 ]
Deng, WH
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2006年 / 20卷 / 07期
关键词：
synchronization; fractional order; Duffing system; Lorenz system; Rossler system;
D O I：
10.1142/S0217979206033620
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
Chaos synchronization of the Duffing, Lorenz and Rossler systems with fractional orders are studied theoretically and numerically. Three methods are applied in this paper: combination of active-passive decomposition (APD) and one-way coupling methods, Pecora-Carroll method, bidirectional coupling method. The sufficient conditions of achieving synchronization between two identical fractional systems are derived by using the Laplace transform theory. Numerical simulations demonstrate the effectiveness of the proposed synchronization schemes for these fractional systems.
引用
收藏
页码：791 / 803
页数：13
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