Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5274
Title: Pinning synchronization of delayed neural networks
Authors: Zhou, J
Wu, X
Yu, W
Small, M
Lu, JA
Keywords: Adaotuve systems
Complex networks
Delays
Lyapunov methods
Neural nets
Neurophysiology
synchronisation
Issue Date: Dec-2008
Publisher: American Institute of Physics
Source: Chaos: an interdisciplinary journal of nonlinear science, Dec. 2008, v. 18, no. 4, 043111, p. 1-9 How to cite?
Journal: Chaos: an interdisciplinary journal of nonlinear science 
Abstract: This paper investigates adaptive pinning synchronization of a general weighted neural network with coupling delay. Unlike recent works on pinning synchronization which proposed the possibility that synchronization can be reached by controlling only a small fraction of neurons, this paper aims to answer the following question: Which neurons should be controlled to synchronize a neural network? By using Schur complement and Lyapunov function methods, it is proved that under a mild topology-based condition, some simple adaptive feedback controllers are sufficient to globally synchronize a general delayed neural network. Moreover, for a concrete neurobiological network consisting of identical Hindmarsh–Rose neurons, a specific pinning control technique is introduced and some numerical examples are presented to verify our theoretical results.
URI: http://hdl.handle.net/10397/5274
ISSN: 1054-1500 (print)
1089-7682 (online)
DOI: 10.1063/1.2995852
Rights: © 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Zhou et al., Chaos: an interdisciplinary journal of nonlinear science 18, 043111 (2008) and may be found at http://link.aip.org/link/?cha/18/043111
Appears in Collections:Journal/Magazine Article

Files in This Item:
File Description SizeFormat 
Zhou_Pinning_Synchronization_Neural.pdf9.95 MBAdobe PDFView/Open
Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

45
Citations as of Jun 4, 2016

WEB OF SCIENCETM
Citations

45
Last Week
0
Last month
1
Citations as of Sep 30, 2016

Page view(s)

160
Last Week
3
Last month
Checked on Sep 25, 2016

Download(s)

134
Checked on Sep 25, 2016

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.