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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2006, Volume 2, Number 2, Pages 147–164
(Mi nd159)
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This article is cited in 2 scientific papers (total in 2 papers)
Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency
K. V. Koshel, D. V. Stepanov V. I. Il'ichev Pacific Oceanological Institute of the Far Eastern Branch of RAS
Abstract:
We consider a model of a point vortex in a two-layer quasi-geostrophic flow. In this model, the chaotization of the phase space strongly depends on the frequency of the external perturbation. Numerical experiments show that the degree of chaotization as a function of the perturbation frequency has a number of pronounced extrema. Upon examination of rotation frequencies of fluid particles and the corresponding non-linear resonances, we have found a strong connection between these extrema and disappearance of the non-linear resonances. This disappearance phenomenon has been studied using the Poincaré section technique.
Keywords:
two-layer fluid, vortex structures, phase portrait, chaotic dynamics.
Citation:
K. V. Koshel, D. V. Stepanov, “Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency”, Nelin. Dinam., 2:2 (2006), 147–164
Linking options:
https://www.mathnet.ru/eng/nd159 https://www.mathnet.ru/eng/nd/v2/i2/p147
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Statistics & downloads: |
Abstract page: | 164 | Full-text PDF : | 46 | First page: | 1 |
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