The Liouville classification of integrable systems of the Clebsch case
Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1507-1533
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The Fomenko–Zieschang invariants for the integrable Clebsch case in the dynamics of a rigid body are calculated. Thus a complete description of the structure of the Liouville foliations on isoenergy surfaces of this integrable Hamiltonian system is obtained. As a corollary the Liouville equivalence of the Euler and Clebsch cases for certain values of the parameters is established.
@article{SM_2002_193_10_a5,
author = {P. V. Morozov},
title = {The {Liouville} classification of integrable systems of the {Clebsch} case},
journal = {Sbornik. Mathematics},
pages = {1507--1533},
publisher = {mathdoc},
volume = {193},
number = {10},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_10_a5/}
}
P. V. Morozov. The Liouville classification of integrable systems of the Clebsch case. Sbornik. Mathematics, Tome 193 (2002) no. 10, pp. 1507-1533. http://geodesic.mathdoc.fr/item/SM_2002_193_10_a5/