Persons: Vedyushkina, Viktoriya Viktorovna

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Vedyushkina, Viktoriya Viktorovna

Doctor of physico-mathematical sciences (2020)

Speciality:

01.01.04 (Geometry and topology)

E-mail:

Website:

http://dfgm.math.msu.su/people/vedushkina/index.php

https://www.mathnet.ru/eng/person121648

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/1020003

https://elibrary.ru/author_items.asp?authorid=1050087

ISTINA

https://istina.msu.ru/workers/19274469

https://www.webofscience.com/wos/author/record/Y-8609-2019

	Publications in Math-Net.Ru	Citations
	2025
1.	V. V. Vedyushkina, A. V. Zaitseva, “Topology of the Liouville foliation for an integrable billiard bounded by parabolas and having a gravitational potential”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 3, 22–31 ; Moscow University Mathematics Bulletin, 80:3 (2025), 173–183
	2023
2.	A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Uspekhi Mat. Nauk, 78:5(473) (2023), 93–176 ; Russian Math. Surveys, 78:5 (2023), 881–954	11
3.	V. V. Vedyushkina, S. E. Pustovoitov, “Classification of Liouville foliations of integrable topological billiards in magnetic fields”, Mat. Sb., 214:2 (2023), 23–57 ; Sb. Math., 214:2 (2023), 166–196	4
	2022
4.	V. V. Vedyushkina, V. A. Kibkalo, “Billiard books of low complexity and realization of Liouville foliations of integrable systems”, Chebyshevskii Sb., 23:1 (2022), 53–82	5
5.	A. T. Fomenko, V. V. Vedyushkina, “Evolutionary force billiards”, Izv. RAN. Ser. Mat., 86:5 (2022), 116–156 ; Izv. Math., 86:5 (2022), 943–979	7
6.	V. V. Vedyushkina, V. N. Zav'yalov, “Realization of geodesic flows with a linear first integral by billiards with slipping”, Mat. Sb., 213:12 (2022), 31–52 ; Sb. Math., 213:12 (2022), 1645–1664	7
7.	V. V. Vedyushkina, A. I. Skvortsov, “Topology of integrable billiard in an ellipse on the Minkowski plane with the Hooke potential”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 1, 8–19 ; Moscow University Mathematics Bulletin, 77:1 (2022), 7–19	5
	2021
8.	V. V. Vedyushkina, V. A. Kibkalo, S. E. Pustovoitov, “Realization of focal singularities of integrable systems using billiard books with a Hooke potential field”, Chebyshevskii Sb., 22:5 (2021), 44–57	6
9.	V. V. Vedyushkina, A. T. Fomenko, “Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases”, Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021), 5–9 ; Dokl. Math., 103:1 (2021), 1–4	10
10.	V. V. Vedyushkina, “Topological type of isoenergy surfaces of billiard books”, Mat. Sb., 212:12 (2021), 3–19 ; Sb. Math., 212:12 (2021), 1660–1674	10
11.	V. V. Vedyushkina, I. S. Kharcheva, “Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems”, Mat. Sb., 212:8 (2021), 89–150 ; Sb. Math., 212:8 (2021), 1122–1179	19
12.	V. V. Vedyushkina, “Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 4, 48–51 ; Moscow University Mathematics Bulletin, 76:4 (2021), 177–180	3
13.	V. V. Vedyushkina, “Local modeling of Liouville foliations by billiards: implementation of edge invariants”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 28–32 ; Moscow University Mathematics Bulletin, 76:2 (2021), 60–64	14
	2020
14.	V. V. Vedyushkina, V. A. Kibkalo, A. T. Fomenko, “Topological modeling of integrable systems by billiards: realization of numerical invariants”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020), 9–12 ; Dokl. Math., 102:1 (2020), 269–271	16
15.	V. V. Vedyushkina, “Integrable billiard systems realize toric foliations on lens spaces and the 3-torus”, Mat. Sb., 211:2 (2020), 46–73 ; Sb. Math., 211:2 (2020), 201–225	14
16.	V. V. Vedyushkina, V. A. Kibkalo, “Realization of numeriсal invariant of the Siefert bundle of integrable systems by billiards”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 22–28 ; Moscow University Mathematics Bulletin, 75:4 (2020), 161–168	21
17.	V. V. Vedyushkina, “The Liouville foliation of the billiard book modelling the Goryachev–Chaplygin case”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 1, 64–68 ; Moscow University Mathematics, 75:1 (2020), 42–46	17
	2019
18.	V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards”, Izv. RAN. Ser. Mat., 83:6 (2019), 63–103 ; Izv. Math., 83:6 (2019), 1137–1173	31
19.	V. V. Vedyushkina, “The Fomenko–Zieschang invariants of nonconvex topological billiards”, Mat. Sb., 210:3 (2019), 17–74 ; Sb. Math., 210:3 (2019), 310–363	28
20.	A. T. Fomenko, V. V. Vedyushkina, “Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results”, Theor. Appl. Mech., 46:1 (2019), 47–63	6
21.	A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrability in geometry and physics. New scope and new potential”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3, 15–25 ; Moscow University Mathematics Bulletin, 74:3 (2019), 98–107	30
	2018
22.	V. V. Vedyushkina, A. T. Fomenko, I. S. Kharcheva, “Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards”, Dokl. Akad. Nauk, 479:6 (2018), 607–610 ; Dokl. Math., 97:2 (2018), 174–176	28
23.	V. V. Vedyushkina, “The Liouville foliation of nonconvex topological billiards”, Dokl. Akad. Nauk, 478:1 (2018), 7–11 ; Dokl. Math., 97:1 (2018), 1–5	10
24.	V. V. Vedyushkina, I. S. Kharcheva, “Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems”, Mat. Sb., 209:12 (2018), 17–56 ; Sb. Math., 209:12 (2018), 1690–1727	49
25.	V. V. Vedyushkina, “Fomenko–Zieschang invariants of topological billiards bounded by confocal parabolas”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 4, 22–28 ; Moscow University Mathematics Bulletin, 73:4 (2018), 150–155	4
	2017
26.	V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable topological billiards and equivalent dynamical systems”, Izv. RAN. Ser. Mat., 81:4 (2017), 20–67 ; Izv. Math., 81:4 (2017), 688–733	55
27.	V. V. Vedyushkina, A. O. Ivanov, A. A. Tuzhilin, A. T. Fomenko, “Компьютерные модели в геометрии и динамике”, Intelligent systems. Theory and applications, 21:1 (2017), 164–191	1
	2015
28.	V. V. Fokicheva, “A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics”, Mat. Sb., 206:10 (2015), 127–176 ; Sb. Math., 206:10 (2015), 1463–1507	68
	2014
29.	V. V. Fokicheva, “Classification of billiard motions in domains bounded by confocal parabolas”, Mat. Sb., 205:8 (2014), 139–160 ; Sb. Math., 205:8 (2014), 1201–1221	29
30.	V. V. Fokicheva, “Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 18–27 ; Moscow University Mathematics Bulletin, 69:4 (2014), 148–158	36
	2012
31.	V. V. Fokicheva, “Description of singularities for system “billiard in an ellipse””, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 31–34 ; Moscow University Mathematics Bulletin, 67:5-6 (2012), 217–220	27

Presentations in Math-Net.Ru

1.	Топология интегрируемых биллиардных книжек V. V. Vedyushkina Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 8, 2025 18:30
2.	Гамильтонова динамика интегрируемых биллиардных книжек V. V. Vedyushkina Hamiltonian systems and statistical mechanics April 7, 2025 16:30
3.	Лагранжевы слоения интегрируемых биллиардных книжек V. V. Vedyushkina Shafarevich Seminar April 1, 2025 15:00
4.	Maximally symmetric bifurcations of Liouville tori of billiard books that contain foci V. V. Vedyushkina III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 11, 2023 16:10
5.	Modeling bifurcations of Liouville foliations of integrable Hamiltonian systems by billiard books V. V. Vedyushkina International Conference "New Trends in Mathematical Physics" November 10, 2022 11:00
6.	Эволюционные биллиарды как способ реализации интегрируемых случаев Эйлера и Лагранжа A. T. Fomenko, V. V. Vedyushkina November 7, 2022 15:00
7.	Гипотеза А.Т. Фоменко о биллиардах V. V. Vedyushkina Noncommutative geometry and topology April 21, 2022 16:45
8.	New classes of integrable billiards and their connection with invariants of integrable systems V. V. Vedyushkina Steklov Mathematical Institute Seminar March 17, 2022 16:00
9.	Интегрируемые биллиардные книжки и их приложения к теории интегрируемых гамильтоновых систем V. V. Vedyushkina Modern geometry methods March 16, 2022 19:00
10.	Интегрируемые биллиарды, их топология и алгебра: новые результаты и открытые задачи V. A. Kibkalo, V. V. Vedyushkina Modern geometry methods November 17, 2021 19:00
11.	Эволюционные силовые биллиарды A. T. Fomenko, V. V. Vedyushkina Modern geometry methods November 25, 2020 19:00
12.	Связные суммы линзовых пространств как изоэнергетические многообразия биллиардных книжек V. V. Vedyushkina Modern geometry methods October 28, 2020 17:00
13.	Слоение Лиувилля топологических биллиардов с проскальзыванием V. V. Vedyushkina, V. N. Zav'yalov Modern geometry methods October 28, 2020 17:00
14.	Реализация грубых молекул интегрируемыми биллиардными книжками V. V. Vedyushkina, I. S. Kharcheva Modern geometry methods October 28, 2020 17:00
15.	Новые классы интегрируемых биллиардов и гамильтоновы системы геометрии, физики, механики A. T. Fomenko, V. V. Vedyushkina Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS March 5, 2020 11:00
16.	Интегрируемые биллиарды на клеточных комплексах и интегрируемые гамильтоновы системы V. V. Vedyushkina Differential geometry and applications February 17, 2020 16:45
17.	Интегрируемые гамильтоновы системы с двумя степенями свободы и топологические биллиарды. Гипотеза А.Т. Фоменко. V. V. Vedyushkina, A. T. Fomenko Hamiltonian systems and statistical mechanics March 18, 2019
18.	Биллиарды, интегралы, гипотеза А.Т. Фоменко V. V. Vedyushkina Differential geometry and applications November 19, 2018 16:45
19.	Инварианты Фоменко-Цишанга невыпуклых топологических биллиардов V. V. Vedyushkina Dynamical systems and differential equations December 18, 2017 18:30
20.	Интегрируемые "биллиардные книжки" моделируют все 3-атомы интегрируемых гамильтоновых систем V. V. Vedyushkina Hamiltonian systems and statistical mechanics December 11, 2017
21.	Интегрируемые биллиарды: перечень новых задач для исследования V. V. Vedyushkina Modern geometry methods November 29, 2017 18:30
22.	Особенности слоения Лиувилля интегрируемых топологических биллиардов, ограниченных дугами софокусных квадрик V. V. Vedyushkina Knots and Representation Theory November 28, 2017 18:30
23.	Интегрируемые "биллиардные книжки" моделируют все $3$-атомы интегрируемых гамильтоновых систем V. V. Vedyushkina, I. S. Kharcheva Modern geometry methods April 26, 2017 18:30
24.	Топологические биллиарды, ограниченные дугами софокусных квадрик, и лиувиллево эквивалентные динамические системы V. V. Vedyushkina Dynamical systems and differential equations March 20, 2017 18:30
25.	Топологическая классификация интегрируемых биллиардов: биллиарды в областях, ограниченных софокусными квадриками, обобщенные биллиарды, их лиувиллева эквивалентность истсемам динамики твердого тела V. V. Vedyushkina Modern geometry methods October 5, 2016 18:30
26.	Интегрируемые топологические биллиарды и эквивалентные динамические системы V. V. Vedyushkina Differential geometry and applications September 12, 2016 16:45
27.	Интегрируемые биллиарды моделируют важные интегрируемые cлучаи динамики твёрдого тела V. V. Fokicheva Hamiltonian systems and statistical mechanics November 30, 2015
28.	Топологическая классификация систем интегрируемых биллиардов V. V. Fokicheva Differential geometry and applications November 9, 2015 16:45
29.	Топологическая классификация биллиардов в локально плоских областях, ограниченных дугами софокусных квадрик V. V. Fokicheva Knots and Representation Theory April 14, 2015 18:30
30.	Интегрируемые биллиарды в областях, ограниченных софокусными квадриками V. V. Fokicheva Modern geometry methods December 3, 2014 18:30
31.	Generalized billiards. Liouville equivalence V. V. Fokicheva Modern geometry methods December 11, 2013 18:30
32.	Generalized billiards. Classification V. V. Fokicheva Modern geometry methods December 4, 2013 18:30
33.	Description of the topology of Liouville foliation for dynamical systems of “covering” billiards V. V. Fokicheva Modern geometry methods April 10, 2013 18:30
34.	Covering billiards V. V. Fokicheva Modern geometry methods October 10, 2012 18:30
35.	Bifurcation of Liouville tori for integrable systems of type "billiard in a domain bounded by confocal quadrics" V. V. Fokicheva Modern geometry methods April 25, 2012 18:30
36.	Fomenko-Zieschang invariants for integrable billiards on the plane V. V. Fokicheva Modern geometry methods November 23, 2011 18:30

Organisations

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics