Geodesic
Non-chaotic interaction of resonances in a system with two degrees of freedom
Russian journal of nonlinear dynamics, Tome 5 (2009) no. 3, pp. 425-434.

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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, stochasticityp. 
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     author = {A. I. Malyshev},
     title = {Non-chaotic interaction of resonances in a system with two degrees of freedom},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/ND_2009_5_3_a7/}
}
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A. I. Malyshev. Non-chaotic interaction of resonances in a system with two degrees of freedom. Russian journal of nonlinear dynamics, Tome 5 (2009) no. 3, pp. 425-434. http://geodesic.mathdoc.fr/item/ND_2009_5_3_a7/