Московский Государственный университет им. Ломоноса, Механико-математический факультет
Nagaev P. A.
On the chaotization of one-dimensional gas consisting of interactive particles
2007, Vol. 3, No. 4, pp. 393-399
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.