P. Nagaev

    Московский Государственный университет им. Ломоноса, Механико-математический факультет


    Nagaev P. A.
    We investigate the problem of motion of two identical particles on the unit segment. Particularly it was proved using the Poincare’ method that in case of motion in any potential field one can find no additional first integrals except the full energy. We also found some conditions on the type potential under which the two-particles system is stable as the first approximation.
    Keywords: nonintegrability, motion equations, billiard
    Citation: Nagaev P. A.,  On the chaotization of one-dimensional gas consisting of interactive particles, Rus. J. Nonlin. Dyn., 2007, Vol. 3, No. 4, pp.  393-399

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