Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 23, No 2, (1997), 113p-124p
In this paper the classical Kirchhoff case of motion of a rigid
body in an infinite ideal fluid is considered. Then for the corresponding
Hamiltonian system on the zero integral level, the KAM theory conditions
are checked. In contrast to the known similar results, there exists a curve
in the bifurcation diagram along which the Kolmogorov’s condition vanishes
for certain values of the parameters.
* Partially supported by Grant MM523/95 with Ministry of Science and Technologies.