Phase transitions towards frequency entrainment in large oscillator lattices
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/907336
- author
- Östborn, Per LU ; Åberg, Sven LU and Ohlén, Gunnar LU
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 68
- issue
- 1
- article number
- 015004
- publisher
- American Physical Society
- external identifiers
-
- wos:000184582500004
- scopus:4644230816
- pmid:12935187
- ISSN
- 1063-651X
- DOI
- 10.1103/PhysRevE.68.015104
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002), Classical archaeology and ancient history (015004001)
- id
- d380d1d6-523d-4d96-abc2-03da2693ca61 (old id 907336)
- date added to LUP
- 2016-04-01 16:48:33
- date last changed
- 2022-02-05 18:42:39
@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.}}, 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}}, doi = {{10.1103/PhysRevE.68.015104}}, volume = {{68}}, year = {{2003}}, }