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- Title
Regular and Chaotic Oscillations in a Geostrophic Flow with Vertical Shear.
- Authors
Kalashnik, M. V.; Chkhetiani, O. G.
- Abstract
The stability of flow with a constant vertical shear is investigated as part of a two-level quasi-geostrophic model. Analytical expressions for the increment of perturbation growth in linear stability theory are obtained. The Galerkin method with three basic Fourier harmonics is used to describe the nonlinear dynamics of perturbations. A nonlinear system of ordinary differential equations is formulated for amplitudes of Fourier harmonics. It is shown that, in the absence of bottom friction, all solutions of the system describe a periodic mode of nonlinear oscillations or vascillations. The situation changes fundamentally in the model with bottom friction. In this case, for a wide range of parameter values, the system solutions exhibit complex chaotic behavior. Thus, chaos or turbulence emerges for large-scale motions.
- Subjects
SHEAR flow; NONLINEAR oscillations; ORDINARY differential equations; OSCILLATIONS; STABILITY theory; BAROCLINICITY
- Publication
Izvestiya, Atmospheric & Oceanic Physics, 2023, Vol 59, Issue 5, p489
- ISSN
0001-4338
- Publication type
Article
- DOI
10.1134/S0001433823050067