Geodesic
On the KAM - Theory Conditions for the Kirchhoff Top
Serdica Mathematical Journal, Tome 23 (1997) no. 2, pp. 113-124.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: KAM-Theory, Kirchhoff Top, Abelian Integrals 
@article{SMJ2_1997_23_2_a2,
     author = {Christov, Ognyan},
     title = {On the {KAM} - {Theory} {Conditions} for the {Kirchhoff} {Top}},
     journal = {Serdica Mathematical Journal},
     pages = {113--124},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1997_23_2_a2/}
}
TY  - JOUR
AU  - Christov, Ognyan
TI  - On the KAM - Theory Conditions for the Kirchhoff Top
JO  - Serdica Mathematical Journal
PY  - 1997
SP  - 113
EP  - 124
VL  - 23
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_1997_23_2_a2/
LA  - en
ID  - SMJ2_1997_23_2_a2
ER  - 
%0 Journal Article
%A Christov, Ognyan
%T On the KAM - Theory Conditions for the Kirchhoff Top
%J Serdica Mathematical Journal
%D 1997
%P 113-124
%V 23
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_1997_23_2_a2/
%G en
%F SMJ2_1997_23_2_a2
Christov, Ognyan. On the KAM - Theory Conditions for the Kirchhoff Top. Serdica Mathematical Journal, Tome 23 (1997) no. 2, pp. 113-124. http://geodesic.mathdoc.fr/item/SMJ2_1997_23_2_a2/