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...

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Main Author: Björn Birnir
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 2007
Subjects:
North Atlantic
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.249
http://www.math.ucsb.edu/~birnir/papers/dtc.pdf
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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
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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.
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