Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 104-183
Citer cet article
A. T. Fomenko. Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 15–2, Tome 235 (1996), pp. 104-183. http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a5/
@article{ZNSL_1996_235_a5,
author = {A. T. Fomenko},
title = {Symplectic topology of integrable dynamical systems. {Rough} topological classification of classical cases of integrability in the dynamics of a~heavy rigid body},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {104--183},
year = {1996},
volume = {235},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a5/}
}
TY - JOUR
AU - A. T. Fomenko
TI - Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 104
EP - 183
VL - 235
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a5/
LA - en
ID - ZNSL_1996_235_a5
ER -
%0 Journal Article
%A A. T. Fomenko
%T Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 104-183
%V 235
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_235_a5/
%G en
%F ZNSL_1996_235_a5
Physical and mechanical systems with four-dimensional phase space are considered. The classification of nondegenerate integral systems is studied. A “physical zone”, i.e., the systems connected with real physical applications, is determined. Bibl. 27 titles.
