S. Kryzhevich
Russia, 198504, Saint-Petersburg, Petrodvoretz, Universitetskiy pr., 28,
Saint-Petersburg State University,
Faculty of mathematics and mechanics,
The mechanical system, consisting of a material point with
single-degree-of-freedom motions and an elastic delimiter studied.
It is assumed, that between impacts the motions are described by a
second order differential equation of a general form. The
coefficient criteria of existence of a hyperbolic chaotic set of
solutions, described by the "symbolical dynamics", are
established.
Supported by RFFI (03-01-06493), by the Government
of Saint-Petersburg (PD05-1.1-94), by the program "State support
of leading scientific schools"No (2271.2003.1) and by scientific
program of the Ministry of science and education of Russia
"Russian Universities"