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Nelin. Dinam., 2007, Volume 3, Number 4, Pages 393–399 (Mi nd146)  

On the chaotization of one-dimensional gas consisting of interactive particles

P. A. Nagaev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We investigate the problem of motion of two identical particles on the unit segment. Particularly it was proved using the Poincaré method that in case of motion in any potential field one can find no additional first integrals except the full energy. W 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.

Full text: PDF file (120 kB)
UDC: 531.01
MSC: 70F99

Citation: P. A. Nagaev, “On the chaotization of one-dimensional gas consisting of interactive particles”, Nelin. Dinam., 3:4 (2007), 393–399

Citation in format AMSBIB
\Bibitem{Nag07}
\by P.~A.~Nagaev
\paper On the chaotization of one-dimensional gas consisting of interactive particles
\jour Nelin. Dinam.
\yr 2007
\vol 3
\issue 4
\pages 393--399
\mathnet{http://mi.mathnet.ru/nd146}


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  • http://mi.mathnet.ru/eng/nd146
  • http://mi.mathnet.ru/eng/nd/v3/i4/p393

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