On Applicability of Auxiliary System Approach to Detect Generalized Synchronization in Complex Network

doi:10.1109/TAC.2016.2615679

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	On Applicability of Auxiliary System Approach to Detect Generalized Synchronization in Complex Network
	Zhou, Jin 1; Chen, Juan 2; Lu, Junan 1; Lu, Jinhu3
刊名	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
	2017-07-01
卷号	62 期号:7 页码:3468-3473
关键词	Auxiliary system approach complex networks generalized synchronization
ISSN号	0018-9286
DOI	10.1109/TAC.2016.2615679
英文摘要	Generalized synchronization is ubiquitous in nature. It is well known that the auxiliary system approach has been widely used to verify the presence of generalized synchronization. This approach was firstly proposed in a drive-response system, then extended to the bidirectionally coupled systems and complex networks. However, the well-known generalized auxiliary system method lacks a rigorous theoretical basis for its various applications. Two recent counterexamples indicate us the inapplicability of this method. Inspired by the counterexamples, we find that it is interesting to ask the following two fundamental questions: i) Why is the generalized auxiliary system approach unworkable in the networks with bidirectional couplings? ii) Are there any essential conditions for the applications of this approach? This technical note aims at establishing a rigorous theoretical basis for the applicability of auxiliary system approach. That is, the generalized auxiliary system approach is effective only if there does not exist any path from nodes to their driving neighbors (who drive these nodes) in a network. Several representative examples are also given to validate our theoretical results.
资助项目	National Key Research and Development Program of China[2016YFB0800401] ; National Natural Science Foundation of China[61621003] ; National Natural Science Foundation of China[61532020] ; National Natural Science Foundation of China[11472290] ; National Natural Science Foundation of China[61374173] ; National Natural Science Foundation of China[61304164] ; National Natural Science Foundation of China[61573004]
WOS研究方向	Automation & Control Systems ; Engineering
语种	英语
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000404299300032
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25856]
专题	系统科学研究所
通讯作者	Zhou, Jin
作者单位	1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 2.Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430081, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Jin,Chen, Juan,Lu, Junan,et al. On Applicability of Auxiliary System Approach to Detect Generalized Synchronization in Complex Network[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2017,62(7):3468-3473.
APA	Zhou, Jin,Chen, Juan,Lu, Junan,&Lu, Jinhu.(2017).On Applicability of Auxiliary System Approach to Detect Generalized Synchronization in Complex Network.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,62(7),3468-3473.
MLA	Zhou, Jin,et al."On Applicability of Auxiliary System Approach to Detect Generalized Synchronization in Complex Network".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 62.7(2017):3468-3473.