Hopf-Hopf and Hopf-Steady mode interactions with O(2) symmetry in Langmuir circulations
作者:
T. Allen,
I.M. Moroz,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1997)
卷期:
Volume 85,
issue 3-4
页码: 243-278
ISSN:0309-1929
年代: 1997
DOI:10.1080/03091929708208991
出版商: Taylor & Francis Group
关键词: Multiple bifurcations;O(2) symmetry;multicomponent convection;multiple scales;spatial resonance
数据来源: Taylor
摘要:
In this paper the nonlinear stability of two-dimensional Langmuir circulations in a fluid layer, stratified by vertical thermal and salinity gradients, is investigated when two distinct wavenumbers become simultaneously unstable. These instabilities take the form of O(2) symmetric Hopf-Hopf and Hopf-Steady bifurcations when the lateral boundary conditions are assumed to be periodic. In the analysis of the Hopf-Hopf bifurcation a disagreement with the group theoretic work of Chossatet al.(1986) is found. This difference is resolved by correcting the lattice of Isotropy subgroups presented by Chossatet al.(1986) and by considering the effects of the higher order terms in the amplitude evolution equations.
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