政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/73407

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113656/144643 (79%)
Visitors : 51713806 Online Users : 723

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/73407

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/73407

Title:	A general approach to synchronization of coupled cells
Authors:	石至文 Shih, Chih-Wen 曾睿彬 Tseng, Jui-Pin
Contributors:	應數系
Date:	2013-08
Issue Date:	2015-02-09 16:44:37 (UTC+8)
Abstract:	This investigation presents a general framework to establish synchronization of coupled cells and coupled systems. Each individual subsystem is represented by nonlinear differential equations with or without internal or intracellular delay. A general coupling function is employed to depict the communication or interaction between subsystems or cells. Under this framework, the problem of establishing the synchronization for delayed coupled nonlinear systems is transformed to solving a corresponding linear system of algebraic equations. We start by considering a cell-to-cell system under symmetric coupling to present the main idea of the approach. The framework is then extended to the $N$-cell system under circulant coupling. Delay-dependent, delay-independent, and network-scale--dependent criteria for global synchronization will be established, respectively. The developed scheme can accommodate a wide range of coupled systems. We demonstrate the applications of the present approach to establish synchronization for a gene regulation model, a neuronal model, and some neural networks. [PUBLICATION ABSTRACT]
Relation:	SIAM journal on applied dynamical systems , 12(3), 1354-1393
Data Type:	article
DOI 連結:	http://dx.doi.org/10.1137/130907720
DOI:	10.1137/130907720
Appears in Collections:	[應用數學系] 期刊論文

Files in This Item:

File	Description	Size	Format
130907720.pdf		954Kb	Adobe PDF2	1466	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...