A billiard realization of non-Bott singularities of integrable Hamiltonian systems with no more than one singular fiber of Seifert bundle
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 3-10
Voir la notice de l'article provenant de la source Math-Net.Ru
The paper implements degenerate bifurcations of Liouville tori of systems with two degrees of freedom at a fixed energy and provided that there is no more than one special layer of type ($p$, $q$) in the corresponding Seifert fiber space.
@article{VMUMM_2025_2_a0,
author = {A. A. Kuznetsova},
title = {A billiard realization of {non-Bott} singularities of integrable {Hamiltonian} systems with no more than one singular fiber of {Seifert} bundle},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {3--10},
publisher = {mathdoc},
number = {2},
year = {2025},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a0/}
}
TY - JOUR AU - A. A. Kuznetsova TI - A billiard realization of non-Bott singularities of integrable Hamiltonian systems with no more than one singular fiber of Seifert bundle JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2025 SP - 3 EP - 10 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a0/ LA - ru ID - VMUMM_2025_2_a0 ER -
%0 Journal Article %A A. A. Kuznetsova %T A billiard realization of non-Bott singularities of integrable Hamiltonian systems with no more than one singular fiber of Seifert bundle %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2025 %P 3-10 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a0/ %G ru %F VMUMM_2025_2_a0
A. A. Kuznetsova. A billiard realization of non-Bott singularities of integrable Hamiltonian systems with no more than one singular fiber of Seifert bundle. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2025), pp. 3-10. http://geodesic.mathdoc.fr/item/VMUMM_2025_2_a0/