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Phase transitions towards frequency entrainment in large oscillator lattices

Östborn, Per LU ; Åberg, Sven LU and Ohlén, Gunnar LU (2003) In Physical Review E 68(1).
Abstract
We simulate two-dimensional lattices of pulse-coupled oscillators with random natural frequencies, resembling pacemaker cells in the heart. As coupling increases, this system seems to undergo two phase transitions in the thermodynamic limit. First, the largest cluster of frequency entrained oscillators becomes macroscopic. Second, all oscillators frequency entrain, except possibly some isolated ones. Between the two transitions, the system has features indicating self-organized criticality. To our knowledge, the first transition and the intermediate phase have never been observed before. It remains to be seen if they are generic for large lattices of limit cycle oscillators.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
68
issue
1
publisher
American Physical Society
external identifiers
  • wos:000184582500004
  • scopus:4644230816
ISSN
1063-651X
DOI
10.1103/PhysRevE.68.015104
language
English
LU publication?
yes
id
d380d1d6-523d-4d96-abc2-03da2693ca61 (old id 907336)
date added to LUP
2008-01-15 10:07:54
date last changed
2018-10-03 12:14:04
@article{d380d1d6-523d-4d96-abc2-03da2693ca61,
  abstract     = {We simulate two-dimensional lattices of pulse-coupled oscillators with random natural frequencies, resembling pacemaker cells in the heart. As coupling increases, this system seems to undergo two phase transitions in the thermodynamic limit. First, the largest cluster of frequency entrained oscillators becomes macroscopic. Second, all oscillators frequency entrain, except possibly some isolated ones. Between the two transitions, the system has features indicating self-organized criticality. To our knowledge, the first transition and the intermediate phase have never been observed before. It remains to be seen if they are generic for large lattices of limit cycle oscillators.},
  articleno    = {015004},
  author       = {Östborn, Per and Åberg, Sven and Ohlén, Gunnar},
  issn         = {1063-651X},
  language     = {eng},
  number       = {1},
  publisher    = {American Physical Society},
  series       = {Physical Review E},
  title        = {Phase transitions towards frequency entrainment in large oscillator lattices},
  url          = {http://dx.doi.org/10.1103/PhysRevE.68.015104},
  volume       = {68},
  year         = {2003},
}