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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Những tác giả chính: Moroz, I, Leibovich, S
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: Pergamon Press 1988
Miêu tả
Tóm tắt: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.