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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{ND_2006_2_2_a0,
     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},
     journal = {Russian journal of nonlinear dynamics},
     pages = {147--164},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2006_2_2_a0/}
}
TY  - JOUR
AU  - K. V. Koshel
AU  - D. V. Stepanov
TI  - Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency
JO  - Russian journal of nonlinear dynamics
PY  - 2006
SP  - 147
EP  - 164
VL  - 2
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2006_2_2_a0/
LA  - ru
ID  - ND_2006_2_2_a0
ER  - 
%0 Journal Article
%A K. V. Koshel
%A D. V. Stepanov
%T Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency
%J Russian journal of nonlinear dynamics
%D 2006
%P 147-164
%V 2
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2006_2_2_a0/
%G ru
%F ND_2006_2_2_a0
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/