Classification of
bifurcations emerging in the case of non-compact isoenergetic surfaces
Galina Goujvina
(WhiteDogy@rambler.ru )
Moscow State University
B. Dmitrovka Str.,
14-9 107 031 Moscow, Russia
Abstract
We consider a hamiltonian system with two degrees of freedom on a 4-dimentional
simplectical manifold integrable with the help of two integrals H and
f. According to the famous Liouville theorem the non-singular common level
surfaces of these integrals can be represented as the union of tori, cylinders
and planes. The case of compact surfaces and there bifurcations on the
singularities has already been investigated by prof. Fomenko; my work
contains the investigation of the problem in non-compact case.
|