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    Alexandr Malyshev

    23, Prospekt Gagarina, Nizhni Novgorod, 603950, Russia
    N.I. Lobachevsky State University of Nizhni Novgorod


    Malyshev A. I.
    The dynamics of particles moving in a uniform gravitational field and colliding with the horizontal sinusoidal surface is studied. The structure of phase space of the system is analyzed. The process of birth and interaction of a pair of coupling resonance is studied. It is shown that the overlap scenario in a resonance pair under consideration does not agree in principle with the Chirikov criterion.
    Keywords: phase spacee, nonlinear resonancee, resonance overlapp, stochasticity
    Citation: Malyshev A. I.,  Non-chaotic interaction of resonances in a system with two degrees of freedom, Rus. J. Nonlin. Dyn., 2009, Vol. 5, No. 3, pp.  425-434

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