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    Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency

    2006, Vol. 2, No. 2, pp.  147-164

    Author(s): Koshel' K. V., Stepanov D. V.

    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 excitation. Numerical experiments show that the degree of chaotization as a function of the excitation 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 Poincare surface-of-section technique.



    Keywords: two-layer fluid, vortex structures, phase portrait, chaotic dynamics
    Citation: Koshel' K. V., Stepanov D. V., Chaotic advection in two layers flow above the isolated bottom obstacle: the role of unsteady-perturbation frequency, Rus. J. Nonlin. Dyn., 2006, Vol. 2, No. 2, pp.  147-164
    DOI:10.20537/nd0602001


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