Geodesic
Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency
Russian journal of nonlinear dynamics, Tome 2 (2006) no. 2, pp. 147-164

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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, chaotic dynamics.
Mots-clés : vortex structures, phase portrait 
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     author = {K. V. Koshel and D. V. Stepanov},
     title = {Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency},
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     pages = {147--164},
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K. V. Koshel; D. V. Stepanov. Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency. Russian journal of nonlinear dynamics, Tome 2 (2006) no. 2, pp. 147-164. http://geodesic.mathdoc.fr/item/ND_2006_2_2_a0/