An ODE Model of the Motion of Pelagic Fish
A system of ordinary differential equations (ODEs) is derived from a discrete system of Vicsek, Czirók et al. [35], describing the motion of a school of fish. Classes of linear and stationary solutions of the ODEs are found and their stability explored using equivariant bifurcation theory. The exist...
Main Author: | |
---|---|
Other Authors: | |
Format: | Text |
Language: | English |
Published: |
2007
|
Subjects: | |
Online Access: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.249 http://www.math.ucsb.edu/~birnir/papers/dtc.pdf |
id |
ftciteseerx:oai:CiteSeerX.psu:10.1.1.75.249 |
---|---|
record_format |
openpolar |
spelling |
ftciteseerx:oai:CiteSeerX.psu:10.1.1.75.249 2023-05-15T17:30:58+02:00 An ODE Model of the Motion of Pelagic Fish Björn Birnir The Pennsylvania State University CiteSeerX Archives 2007 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.249 http://www.math.ucsb.edu/~birnir/papers/dtc.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.249 http://www.math.ucsb.edu/~birnir/papers/dtc.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.math.ucsb.edu/~birnir/papers/dtc.pdf text 2007 ftciteseerx 2016-01-08T19:03:54Z A system of ordinary differential equations (ODEs) is derived from a discrete system of Vicsek, Czirók et al. [35], describing the motion of a school of fish. Classes of linear and stationary solutions of the ODEs are found and their stability explored using equivariant bifurcation theory. The existence of periodic and toroidal solutions is also proven under deterministic perturbations and structurally stable heteroclinic connections are found. Applications of the model to the migration of the capelin, a pelagic fish that undertakes an extensive migration in the North Atlantic, are discussed and simulation of the ODEs presented. 1 Text North Atlantic Unknown |
institution |
Open Polar |
collection |
Unknown |
op_collection_id |
ftciteseerx |
language |
English |
description |
A system of ordinary differential equations (ODEs) is derived from a discrete system of Vicsek, Czirók et al. [35], describing the motion of a school of fish. Classes of linear and stationary solutions of the ODEs are found and their stability explored using equivariant bifurcation theory. The existence of periodic and toroidal solutions is also proven under deterministic perturbations and structurally stable heteroclinic connections are found. Applications of the model to the migration of the capelin, a pelagic fish that undertakes an extensive migration in the North Atlantic, are discussed and simulation of the ODEs presented. 1 |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Björn Birnir |
spellingShingle |
Björn Birnir An ODE Model of the Motion of Pelagic Fish |
author_facet |
Björn Birnir |
author_sort |
Björn Birnir |
title |
An ODE Model of the Motion of Pelagic Fish |
title_short |
An ODE Model of the Motion of Pelagic Fish |
title_full |
An ODE Model of the Motion of Pelagic Fish |
title_fullStr |
An ODE Model of the Motion of Pelagic Fish |
title_full_unstemmed |
An ODE Model of the Motion of Pelagic Fish |
title_sort |
ode model of the motion of pelagic fish |
publishDate |
2007 |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.249 http://www.math.ucsb.edu/~birnir/papers/dtc.pdf |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_source |
http://www.math.ucsb.edu/~birnir/papers/dtc.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.249 http://www.math.ucsb.edu/~birnir/papers/dtc.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
_version_ |
1766128204137889792 |