Chaos synchronization in fractional differential systems

被引：74
|
作者：
Zhang, Fengrong [1 ,2 ]
Chen, Guanrong [3 ]
Li, Changpin [2 ]
Kurths, Juergen [4 ]
机构：
[1] China Univ Petr East China, Coll Sci, Qingdao 266555, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[4] Potsdam Inst Climate Impact Res, D-14473 Potsdam, Germany
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2013年 / 371卷 / 1990期
基金：
中国国家自然科学基金;
关键词：
fractional calculus; fractional differential system; chaos synchronization; GENERALIZED PROJECTIVE SYNCHRONIZATION; ON-OFF INTERMITTENCY; RIDDLED BASINS; FEEDBACK-CONTROL; ORDER SYSTEMS; DYNAMICS; VAN;
D O I：
10.1098/rsta.2012.0155
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper presents a brief overview of recent developments in chaos synchronization in coupled fractional differential systems, where the original viewpoints are retained. In addition to complete synchronization, several other extended concepts of synchronization, such as projective synchronization, hybrid projective synchronization, function projective synchronization, generalized synchronization and generalized projective synchronization in fractional differential systems, are reviewed.
引用
收藏
页数：26
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