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A continuum model of mean field coupled circle maps Balint, Peter
Description
We consider a model of globally coupled circle maps, the finite version
of which was studied in the works of Koiller-Young, Fernandez and Balint-Selley. In the
continuum version the state of the system is described by a density on
the circle. For a fairly general class of expanding circle maps we show that, for sufficiently
small coupling, there is a unique invariant density. For sufficiently strong coupling the
density converges to a Dirac mass that moves chaotically on the circle. This is joint work
with G. Keller, F. Selley and I.P. Toth.
Item Metadata
| Title |
A continuum model of mean field coupled circle maps
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2018-03-19T10:00
|
| Description |
We consider a model of globally coupled circle maps, the finite version
of which was studied in the works of Koiller-Young, Fernandez and Balint-Selley. In the
continuum version the state of the system is described by a density on
the circle. For a fairly general class of expanding circle maps we show that, for sufficiently
small coupling, there is a unique invariant density. For sufficiently strong coupling the
density converges to a Dirac mass that moves chaotically on the circle. This is joint work
with G. Keller, F. Selley and I.P. Toth.
|
| Extent |
45 minutes
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: Technical University of Budapest
|
| Series | |
| Date Available |
2018-09-15
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0372058
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International