dc.contributor.author |
Cumin, David |
en |
dc.contributor.author |
Unsworth, Charles |
en |
dc.date.accessioned |
2012-03-12T20:59:49Z |
en |
dc.date.issued |
2007 |
en |
dc.identifier.citation |
Physica D 226(2):181-196 15 Feb 2007 |
en |
dc.identifier.issn |
0167-2789 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/14005 |
en |
dc.description.abstract |
In this article, we have generalised the Kuramoto model to allow one to model neuronal synchronisation more appropriately. The generalised version allows for different connective arrangements, time-varying natural frequencies and time-varying coupling strengths to be realised within the framework of the original Kuramoto model. By incorporating the above mentioned features into the original Kuramoto model one can allow for the adaptive nature of neurons in the brain to be accommodated. Extensive tests using the generalised Kuramoto model were performed on a N = 4 coupled oscillator network. Examination of how different connective arrangements, time-varying natural frequencies and time-varying coupling strengths affected synchronisation separately and in combination are reported. The effects on synchronisation for large N are also reported. |
en |
dc.publisher |
Elsevier |
en |
dc.relation.ispartofseries |
Physica D: Nonlinear Phenomena |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.
Details obtained from http://www.sherpa.ac.uk/romeo/issn/0167-2789/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Generalising the Kuromoto Model for the study of Neuronal Synchronisation in the Brain |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1016/j.physd.2006.12.004 |
en |
pubs.issue |
2 |
en |
pubs.begin-page |
181 |
en |
pubs.volume |
226 |
en |
dc.rights.holder |
Copyright: Elsevier |
en |
pubs.end-page |
196 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
80946 |
en |
dc.relation.isnodouble |
4388 |
* |
pubs.org-id |
Engineering |
en |
pubs.org-id |
Engineering Science |
en |
pubs.org-id |
Medical and Health Sciences |
en |
pubs.org-id |
School of Medicine |
en |
pubs.org-id |
Anaesthesiology |
en |
pubs.record-created-at-source-date |
2010-09-01 |
en |