Codimension two HOPF bifurcations in a model for Langmuir calculations.

Considers Langmuir circulations, a system of counter rotating vortices which develop in the surface layer of oceans and lakes for sufficiently strong winds, and discusses behaviour in the neighbourhood of the point where two oscillatory modes are simultaneously excited. Uses the method of multiple s...

Full description

Bibliographic Details
Main Authors: Moroz, I, Leibovich, S
Format: Journal article
Language:English
Published: Pergamon Press 1988
_version_ 1797056018492948480
author Moroz, I
Leibovich, S
author_facet Moroz, I
Leibovich, S
author_sort Moroz, I
collection OXFORD
description Considers Langmuir circulations, a system of counter rotating vortices which develop in the surface layer of oceans and lakes for sufficiently strong winds, and discusses behaviour in the neighbourhood of the point where two oscillatory modes are simultaneously excited. Uses the method of multiple scales to develop nonlinear evolution equations for the amplitudes of the growing modes. Describes the unfolding of the bifurcation. Regions with single frequency oscillation and quasi periodic flow appear to occur.
first_indexed 2024-03-06T19:17:24Z
format Journal article
id oxford-uuid:18e05e08-7ac2-4cdb-8723-3d1e65a0b82c
institution University of Oxford
language English
last_indexed 2024-03-06T19:17:24Z
publishDate 1988
publisher Pergamon Press
record_format dspace
spelling oxford-uuid:18e05e08-7ac2-4cdb-8723-3d1e65a0b82c2022-03-26T10:45:39ZCodimension two HOPF bifurcations in a model for Langmuir calculations.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:18e05e08-7ac2-4cdb-8723-3d1e65a0b82cEnglishSymplectic Elements at OxfordPergamon Press1988Moroz, ILeibovich, SConsiders Langmuir circulations, a system of counter rotating vortices which develop in the surface layer of oceans and lakes for sufficiently strong winds, and discusses behaviour in the neighbourhood of the point where two oscillatory modes are simultaneously excited. Uses the method of multiple scales to develop nonlinear evolution equations for the amplitudes of the growing modes. Describes the unfolding of the bifurcation. Regions with single frequency oscillation and quasi periodic flow appear to occur.
spellingShingle Moroz, I
Leibovich, S
Codimension two HOPF bifurcations in a model for Langmuir calculations.
title Codimension two HOPF bifurcations in a model for Langmuir calculations.
title_full Codimension two HOPF bifurcations in a model for Langmuir calculations.
title_fullStr Codimension two HOPF bifurcations in a model for Langmuir calculations.
title_full_unstemmed Codimension two HOPF bifurcations in a model for Langmuir calculations.
title_short Codimension two HOPF bifurcations in a model for Langmuir calculations.
title_sort codimension two hopf bifurcations in a model for langmuir calculations
work_keys_str_mv AT morozi codimensiontwohopfbifurcationsinamodelforlangmuircalculations
AT leibovichs codimensiontwohopfbifurcationsinamodelforlangmuircalculations