A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom
Izvestiya. Mathematics , Tome 36 (1991) no. 3, pp. 567-596
Voir la notice de l'article provenant de la source Math-Net.Ru
A new topological invariant is constructed which classifies integrable Hamiltonian systems with two degrees of freedom (admitting a Bott integral). A criterion for the equivalence of Bott systems is proved: such systems are topologically equivalent if and only if their topological invariants coincide. The topological invariant is effectively calculated for specific integrable Hamiltonian systems in physics and mechanics.
@article{IM2_1991_36_3_a5,
author = {A. T. Fomenko and H. Zieschang},
title = {A topological invariant and a criterion for the equivalence of integrable {Hamiltonian} systems with two degrees of freedom},
journal = {Izvestiya. Mathematics },
pages = {567--596},
publisher = {mathdoc},
volume = {36},
number = {3},
year = {1991},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a5/}
}
TY - JOUR AU - A. T. Fomenko AU - H. Zieschang TI - A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom JO - Izvestiya. Mathematics PY - 1991 SP - 567 EP - 596 VL - 36 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a5/ LA - en ID - IM2_1991_36_3_a5 ER -
%0 Journal Article %A A. T. Fomenko %A H. Zieschang %T A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom %J Izvestiya. Mathematics %D 1991 %P 567-596 %V 36 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a5/ %G en %F IM2_1991_36_3_a5
A. T. Fomenko; H. Zieschang. A topological invariant and a criterion for the equivalence of integrable Hamiltonian systems with two degrees of freedom. Izvestiya. Mathematics , Tome 36 (1991) no. 3, pp. 567-596. http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a5/