V. Dragović, M. Radnović, “Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space”, Fundam. Prikl. Mat., 20:2 (2015), 51–64; J. Math. Sci., 223:6 (2017), 686

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Fundamentalnaya i Prikladnaya Matematika, 2015, Volume 20, Issue 2, Pages 51–64 (Mi fpm1640)

This article is cited in 13 scientific papers (total in 13 papers)

Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space

V. Dragović^ab, M. Radnović^ca

^a Mathematical Institute, Serbian Academy of Sciences and Arts, Serbia
^b The University of Texas at Dallas, USA
^c School of Mathematics and Statistics, The University of Sydney, Australia

Full-text PDF (960 kB) Citations (13)

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Abstract: We describe topological properties of the elliptical billiard in the Minkowski plane and geodesic motion on an ellipsoid in the Minkowski space.

Funding agency	Grant number
Ministry of Education, Science and Technical Development of Serbia	174020
Australian Research Council	FL120100094

English version:
Journal of Mathematical Sciences (New York), 2017, Volume 223, Issue 6, Pages 686–694
DOI: https://doi.org/10.1007/s10958-017-3378-4

Bibliographic databases:

Document Type: Article

UDC: 517.938.5

Language: Russian

Citation: V. Dragović, M. Radnović, “Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space”, Fundam. Prikl. Mat., 20:2 (2015), 51–64; J. Math. Sci., 223:6 (2017), 686–694

Citation in format AMSBIB

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\by V.~Dragovi{\'c}, M.~Radnovi{\'c}

\paper Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space

\jour Fundam. Prikl. Mat.

\yr 2015

\vol 20

\issue 2

\pages 51--64

\mathnet{http://mi.mathnet.ru/fpm1640}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3472268}

\elib{https://elibrary.ru/item.asp?id=25686562}

\transl

\jour J. Math. Sci.

\yr 2017

\vol 223

\issue 6

\pages 686--694

\crossref{https://doi.org/10.1007/s10958-017-3378-4}

Linking options:

https://www.mathnet.ru/eng/fpm1640

https://www.mathnet.ru/eng/fpm/v20/i2/p51

This publication is cited in the following 13 articles:

G. V. Belozerov, A. T. Fomenko, “Generalized Jacobi–Chasles theorem in non-Euclidean spaces”, Sb. Math., 215:9 (2024), 1159–1181
Sean Gasiorek, Milena Radnović, Contemporary Mathematics, 807, Recent Progress in Special Functions, 2024, 111
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Russian Math. Surveys, 78:5 (2023), 881–954
V. V. Vedyushkina, A. I. Skvortsov, “Topology of integrable billiard in an ellipse on the Minkowski plane with the Hooke potential”, Moscow University Mathematics Bulletin, 77:1 (2022), 7–19
Vladimir Dragović, Sean Gasiorek, Milena Radnović, “Billiard Ordered Games and Books”, Regul. Chaotic Dyn., 27:2 (2022), 132–150
V. Dragović, S. Gasiorek, M. Radnović, “Integrable billiards on a Minkowski hyperboloid: extremal polynomials and topology”, Sb. Math., 213:9 (2022), 1187–1221
M Pnueli, V Rom-Kedar, “On the structure of Hamiltonian impact systems”, Nonlinearity, 34:4 (2021), 2611
E. E. Karginova, “Billiards bounded by arcs of confocal quadrics on the Minkowski plane”, Sb. Math., 211:1 (2020), 1–28
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrability in geometry and physics. New scope and new potential”, Moscow University Mathematics Bulletin, 74:3 (2019), 98–107
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
E. E. Karginova, “Liouville foliation of topological billiards in the Minkowski plane”, J. Math. Sci., 259:5 (2021), 656–675
A. T. Fomenko, V. V. Vedyushkina, “Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field”, Russ. J. Math. Phys., 26:3 (2019), 320–333
V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable topological billiards and equivalent dynamical systems”, Izv. Math., 81:4 (2017), 688–733

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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