119899, Moscow, Vorobyevy gory
M.V.Lomonosov Moscow State University
Anikeyev P. V.
About the Fields of Symmetry of the Second Power of the Reversible Systems on the Two-dimensional Torus
1996, vol. 1, no. 1, pp. 45-53
There is shown in this work that in the case when the configuration space of a dynamic system is a two-dimensional sphere, any field of symmetries of the second order is Hamiltonian as to its pulses. There is described a large class of fields of symmetries of the geodesic flow on the two-phase sphere.