@article{VMUMM_2020_4_a2,
author = {V. V. Vedyushkina and V. A. Kibkalo},
title = {Realization of numeri{\cyrs}al invariant of the {Siefert} bundle of integrable systems by billiards},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {22--28},
year = {2020},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a2/}
}
TY - JOUR AU - V. V. Vedyushkina AU - V. A. Kibkalo TI - Realization of numeriсal invariant of the Siefert bundle of integrable systems by billiards JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2020 SP - 22 EP - 28 IS - 4 UR - http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a2/ LA - ru ID - VMUMM_2020_4_a2 ER -
%0 Journal Article %A V. V. Vedyushkina %A V. A. Kibkalo %T Realization of numeriсal invariant of the Siefert bundle of integrable systems by billiards %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2020 %P 22-28 %N 4 %U http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a2/ %G ru %F VMUMM_2020_4_a2
V. V. Vedyushkina; V. A. Kibkalo. Realization of numeriсal invariant of the Siefert bundle of integrable systems by billiards. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2020), pp. 22-28. http://geodesic.mathdoc.fr/item/VMUMM_2020_4_a2/
[1] Vedyushkina V. V., Fomenko A. T., “Bilyardy i integriruemost v geometrii i fizike. Novyi vzglyad i novye vozmozhnosti”, Vestn. Mosk. un-ta. Matem. Mekhan., 2019, no. 3, 15–25 | MR | Zbl
[2] Fomenko A. T., Tsishang Kh., “Topologicheskii invariant i kriterii ekvivalentnosti integriruemykh gamiltonovykh sistem s dvumya stepenyami svobody”, Izv. AN SSSR. Ser. matem., 54:3 (1990), 546–575 | Zbl
[3] Vedyushkina V. V., Kharcheva I. S., “Billiardnye knizhki modeliruyut vse trekhmernye bifurkatsii integriruemykh gamiltonovykh sistem”, Matem. sb., 209:12 (2018), 17–56 | MR | Zbl
[4] Bolsinov A. V., Fomenko A. T., Integriruemye gamiltonovy sistemy. Geometriya, topologiya, klassifikatsiya, v. 1, 2, NITs “RKhD”, Izhevsk, 1999
[5] Kozlov V. V., Treschev V. V., Billiardy. Geneticheskoe vvedenie v dinamiku sistem s udarami, Izd-vo MGU, M., 1991 | MR
[6] Fokicheva V. V., “Topologicheskaya klassifikatsiya billiardov v lokalno ploskikh oblastyakh, ogranichennykh dugami sofokusnykh kvadrik”, Matem. sb., 206:10 (2015), 127–176 | MR | Zbl
[7] Fokicheva V. V., Fomenko A. T., “Integriruemye billiardy modeliruyut vazhnye integriruemye sluchai dinamiki tverdogo tela”, Dokl. RAN, 465:2 (2015), 150–153 | MR | Zbl
[8] Vedyushkina V. V., “Invarianty Fomenko–Tsishanga nevypuklykh topologicheskikh billiardov”, Matem. sb., 210:3 (2019), 17–74 | MR | Zbl