Spectral coarse graining and synchronization in oscillator networks.
Details
Serval ID
serval:BIB_CA53A196724B
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Spectral coarse graining and synchronization in oscillator networks.
Journal
Physical Review Letters
ISSN
0031-9007 (Print)
ISSN-L
0031-9007
Publication state
Published
Issued date
2008
Peer-reviewed
Oui
Volume
100
Number
17
Pages
174104
Language
english
Abstract
Coarse graining techniques offer a promising alternative to large-scale simulations of complex dynamical systems, as long as the coarse-grained system is truly representative of the initial one. Here, we investigate how the dynamical properties of oscillator networks are affected when some nodes are merged together to form a coarse-grained network. Moreover, we show that there exists a way of grouping nodes preserving as much as possible some crucial aspects of the network dynamics. This coarse graining approach provides a useful method to simplify complex oscillator networks, and more generally, networks whose dynamics involves a Laplacian matrix.
Keywords
Biological Clocks, Models, Biological, Models, Theoretical, Stochastic Processes, Systems Biology
Pubmed
Web of science
Create date
15/12/2014 14:23
Last modification date
20/08/2019 16:45