Generalized synchronization in fractional order systems

被引：42
|
作者：
Deng, Weihua [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
PHYSICAL REVIEW E | 2007年 / 75卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.75.056201
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The generalized synchronization of fractional order systems is investigated, including the synchronization between two different fractional order systems with the same order, the synchronization between two different fractional order systems with no orders the same, and the synchronization between a classical system and its corresponding fractional order system with mismatched parameters. The mechanism for the occurrence of generalized synchronization of fractional order systems is clarified, the necessary and sufficient conditions are given, and several methods to detect generalized synchronization are discussed. The relationship between generalized synchronization and the equivalence of fractional order systems is also considered.
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页数：7
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