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    Non-chaotic interaction of resonances in a system with two degrees of freedom

    2009, Vol. 5, No. 3, pp.  425-434

    Author(s): 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
    DOI:10.20537/nd0903008


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