# On the KAM - Theory Conditions for the Kirchhoff Top

Serdica Mathematical Journal (1997)

- Volume: 23, Issue: 2, page 113-124
- ISSN: 1310-6600

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topChristov, Ognyan. "On the KAM - Theory Conditions for the Kirchhoff Top." Serdica Mathematical Journal 23.2 (1997): 113-124. <http://eudml.org/doc/11606>.

@article{Christov1997,

abstract = {* Partially supported by Grant MM523/95 with Ministry of Science and Technologies.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.},

author = {Christov, Ognyan},

journal = {Serdica Mathematical Journal},

keywords = {KAM-Theory; Kirchhoff Top; Abelian Integrals; KAM-theory; isoenergetical non-degeneracy; Abelian integrals; Kirchhoff top of motion; rigid body; ideal fluid; Hamiltonian system},

language = {eng},

number = {2},

pages = {113-124},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On the KAM - Theory Conditions for the Kirchhoff Top},

url = {http://eudml.org/doc/11606},

volume = {23},

year = {1997},

}

TY - JOUR

AU - Christov, Ognyan

TI - On the KAM - Theory Conditions for the Kirchhoff Top

JO - Serdica Mathematical Journal

PY - 1997

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 23

IS - 2

SP - 113

EP - 124

AB - * Partially supported by Grant MM523/95 with Ministry of Science and Technologies.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.

LA - eng

KW - KAM-Theory; Kirchhoff Top; Abelian Integrals; KAM-theory; isoenergetical non-degeneracy; Abelian integrals; Kirchhoff top of motion; rigid body; ideal fluid; Hamiltonian system

UR - http://eudml.org/doc/11606

ER -

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