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...
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Format: | Journal article |
Language: | English |
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Pergamon Press
1988
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_version_ | 1797056018492948480 |
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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 |