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    Alexey Gledzer

    Pyzhevsky 3, Moscow, 119017 Russia
    A. M.Obukhov Institute of Atmospheric Physics of the Russian Academy of Sciences


    Gledzer A. E.
    Passive particles advection is considered in the vicinity of hyperbolic stationary point of the separatrix destroyed by insteady perturbations. For different frequencies of the disturbancies the trajectories of advected particles are investigated analytically and numerically. The approximate criteria of capture and release of particles are obtained. The results are linked with known law for the stochastic layer width near separatrix. The obtained criteria are connected with analytical Melnikov’s integral.
    Keywords: chaotic dynamics, vortex structures, stochastic layer
    Citation: Gledzer A. E.,  On the Lagrangian transport near oscillating vortex in running flow, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 1, pp.  75-100
    Gledzer A. E.
    The oscillatory types of motion in frame of 6-modes model of convection are considered into nearly axially symmetrical ellipsoidal volume. The pseudo-Prandtl, Rayleigh numbers and vertical aspect ratio are changed in large ranges. The regimes with different types of vorticity oscillations are determined, that are connected with the turning of the fluid rotation axis or with the alteration of rotation. For some of the regimes the analytical solution and formulae of oscillation periods were obtained.
    Keywords: Rayleigh-Benard convection, low-order models, linear space, thermal plumes
    Citation: Gledzer A. E.,  The convection regimes in a low-order model of fluid motion in nearly axially symmetrical ellipsoidal cavity, Rus. J. Nonlin. Dyn., 2007, Vol. 3, No. 1, pp.  3-31

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