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Dragović, Vladimir

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Author ID: dragovic.vladimir Recent zbMATH articles by "Dragović, Vladimir"
Published as: Dragović, Vladimir; Dragović, V.
External Links: MGP · Wikidata
Documents Indexed: 86 Publications since 1994, including 4 Books

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 335 times in 147 Documents Cited by Year
Poncelet porisms and beyond. Integrable billiards, hyperelliptic Jacobians and pencils of quadrics. Zbl 1225.37001
Dragović, Vladimir; Radnović, Milena
45
2011
Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065
Dragović, V.; Radnović, M.
21
2009
Geometry of integrable billiards and pencils of quadrics. Zbl 1118.37029
Dragović, Vladimir; Radnović, Milena
13
2006
Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics. Zbl 1252.37049
Dragović, Vladimir; Radnović, Milena
13
2012
Bicentennial of the great Poncelet theorem (1813–2013): current advances. Zbl 1417.37034
Dragović, Vladimir; Radnović, Milena
13
2014
On periodical trajectories of the billiard systems within an ellipsoid in \(\mathbb{R}^d\) and generalized Cayley’s condition. Zbl 0927.37019
Dragović, Vladimir; Radnović, Milena
12
1998
Cayley-type conditions for billiards within \(k\) quadrics in \(\mathbb R^d\). Zbl 1108.37041
Dragović, Vladimir; Radnović, Milena
12
2004
Geometrization and generalization of the Kowalevski top. Zbl 1252.14021
Dragović, Vladimir
10
2010
Conditions of Cayley’s type for ellipsoidal billiard. Zbl 0999.37019
Dragović, Vladimir; Radnović, Milena
10
1998
An \(L\)-\(A\) pair for the Hess-Apel’rot system and a new integrable case for the Euler-Poisson equations on \(so(4)\times so(4)\). Zbl 1010.70004
Dragović, Vladimir; Gajić, Borislav
10
2001
The Wagner curvature tensor in nonholonomic mechanics. Zbl 1023.37036
Dragović, V.; Gajić, B.
10
2003
Hyperelliptic Jacobians as billiard algebra of pencils of quadrics: Beyond Poncelet porisms. Zbl 1154.37022
Dragović, Vladimir; Radnović, Milena
9
2008
Generalizations of classical integrable nonholonomic rigid body systems. Zbl 0934.70007
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar Žarko
9
1998
Systems of Hess-Appel’rot type. Zbl 1122.37044
Dragović, Vladimir; Gajić, Borislav
8
2006
Pseudo-integrable billiards and arithmetic dynamics. Zbl 1351.37160
Dragović, Vladimir; Radnović, Milena
8
2014
The Appell hypergeometric functions and classical separable mechanical systems. Zbl 1046.70009
Dragović, Vladimir
7
2002
The Lagrange bitop on \(\text{so}(4)\times \text{so}(4)\) and geometry of the Prym varieties. Zbl 1125.37316
Dragović, Vladimir; Gajić, Borislav
7
2004
Integrable billiards and quadrics. Zbl 1202.37078
Dragović, V.; Radnović, M.
6
2010
Systems of Hess-Appel’rot type and Zhukovskii property. Zbl 1213.37088
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar Žarko
6
2009
On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies. Zbl 1061.70010
Dragović, Vladimir; Jovanović, Božidar Žarko; Radnović, Milena
6
2003
Systems of Kowalevski type and discriminantly separable polynomials. Zbl 1357.37081
Dragović, Vladimir; Kukić, Katarina
6
2014
Singular Manakov flows and geodesic flows on homogeneous spaces of \(SO(N)\). Zbl 1185.53090
Dragović, V.; Gajić, B.; Jovanović, Božidar Žarko
6
2009
Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055
Dragović, Vladimir; Radnović, Milena
5
2019
On integrable potential perturbations of the billiard system within an ellipsoid. Zbl 0884.70023
Dragović, Vladimir; Jovanović, Božidar Žarko
5
1997
On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations. Zbl 1252.70022
Dragović, Vladimir; Gajić, Borislav
5
2012
Minkowski plane, confocal conics, and billiards. Zbl 1313.37057
Dragović, Vladimir; Radnović, Milena
5
2013
Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space. Zbl 1384.37047
Dragović, Vladimir; Radnović, Milena
5
2017
New examples of systems of the Kowalevski type. Zbl 1309.37052
Dragović, Vladimir; Kukić, Katarina
4
2011
Periods of pseudo-integrable billiards. Zbl 1371.37070
Dragović, Vladimir; Radnović, Milena
4
2015
Poncelet-Darboux curves, their complete decomposition and Marden theorem. Zbl 1230.14038
Dragović, Vladimir
4
2011
Billiard algebra, integrable line congruences, and double reflection nets. Zbl 1260.14040
Dragović, Vladimir; Radnović, Milena
4
2012
Multivalued hyperelliptic continued fractions of generalized Halphen type. Zbl 1176.37005
Dragović, Vladimir
4
2009
Discriminantly separable polynomials and quad-equations. Zbl 1309.37067
Dragović, Vladimir; Kukić, Katarina
4
2014
Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations. Zbl 1416.34077
Dragović, Vladimir; Shramchenko, Vasilisa
3
2019
A survey of the analytical description of periodic elliptical billiard trajectories. Zbl 1244.37023
Dragović, V.; Radnović, M.
3
2006
The Sokolov case, integrable Kirchhoff elasticae, and genus 2 theta functions via discriminantly separable polynomials. Zbl 1322.37026
Dragović, Vladimir; Kukić, Katarina
3
2014
Some recent generalizations of the classical rigid body systems. Zbl 1378.70007
Dragović, Vladimir; Gajić, Borislav
3
2016
Periodic ellipsoidal billiard trajectories and extremal polynomials. Zbl 1432.37056
Dragović, Vladimir; Radnović, Milena
3
2019
Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. Zbl 1436.37036
Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena
2
2019
About the cover: The fine-Petrović polygons and the Newton-Puiseux method for algebraic ordinary differential equations. Zbl 1443.34002
Dragović, Vladimir; Goryuchkina, Irina
2
2020
Matrix Lax polynomials, geometry of Prym varieties and systems of Hess-Appel’rot type. Zbl 1122.37043
Dragović, Vladimir; Gajić, Borislav
2
2006
Algebro-geometric approach to the Yang–Baxter equation and related topics. Zbl 1289.14002
Dragović, Vladimir
2
2012
Algebro-geometric solutions of the Schlesinger systems and the Poncelet-type polygons in higher dimensions. Zbl 1407.37093
Dragović, Vladimir; Shramchenko, Vasilisa
2
2018
Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062
Buchstaber, V. M.; Dragović, Vladimir
2
2018
Hirota-Kimura type discretization of the classical nonholonomic Suslov problem. Zbl 1229.37084
Dragović, V.; Gajić, B.
2
2008
Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics. Zbl 07276378
Dragović, Vladimir; Goryuchkina, Irina
2
2020
Quad-graphs and discriminantly separable polynomials of type \({\mathcal P}^2_3\). Zbl 1358.37110
Dragović, Vladimir; Kukić, Katarina
1
2013
Four-dimensional generalization of the Grioli precession. Zbl 1353.70024
Dragović, Vladimir; Gajić, Borislav
1
2014
Separability in Hamilton-Jacobi sense in two degrees of freedom and the Appell hypergeometric functions. Zbl 1080.35149
Dragović, Vladimir
1
2005
Periodic trajectories of billiard inside quadrics and algebraic curves. Zbl 1011.37036
Dragović, Vladimir; Radnović, Milena
1
1997
Algebro-geometric integration in classical and statistical mechanics. Zbl 1265.70001
Dragović, Vladimir
1
2006
Analysis on manifolds. Applications of geometry, mechanics, topology. (Analiza na mnogostrukostima. Primene u geometriji, mekhanitsi, topologiji.) Zbl 1083.53039
Dragović, Vladimir; Milinković, Darko
1
2003
On the completeness of the Manakov integrals. Zbl 1404.37068
Gajić, Borislav; Dragović, Vladimir; Jovanović, Božidar
1
2017
Elliptic curves and a new construction of integrable systems. Zbl 1229.37064
Dragović, V.; Gajić, B.
1
2009
About the cover: The fine-Petrović polygons and the Newton-Puiseux method for algebraic ordinary differential equations. Zbl 1443.34002
Dragović, Vladimir; Goryuchkina, Irina
2
2020
Polygons of Petrović and Fine, algebraic ODEs, and contemporary mathematics. Zbl 07276378
Dragović, Vladimir; Goryuchkina, Irina
2
2020
Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055
Dragović, Vladimir; Radnović, Milena
5
2019
Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations. Zbl 1416.34077
Dragović, Vladimir; Shramchenko, Vasilisa
3
2019
Periodic ellipsoidal billiard trajectories and extremal polynomials. Zbl 1432.37056
Dragović, Vladimir; Radnović, Milena
3
2019
Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. Zbl 1436.37036
Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena
2
2019
Algebro-geometric solutions of the Schlesinger systems and the Poncelet-type polygons in higher dimensions. Zbl 1407.37093
Dragović, Vladimir; Shramchenko, Vasilisa
2
2018
Two-valued groups, Kummer varieties, and integrable billiards. Zbl 1403.14062
Buchstaber, V. M.; Dragović, Vladimir
2
2018
Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space. Zbl 1384.37047
Dragović, Vladimir; Radnović, Milena
5
2017
On the completeness of the Manakov integrals. Zbl 1404.37068
Gajić, Borislav; Dragović, Vladimir; Jovanović, Božidar
1
2017
Some recent generalizations of the classical rigid body systems. Zbl 1378.70007
Dragović, Vladimir; Gajić, Borislav
3
2016
Periods of pseudo-integrable billiards. Zbl 1371.37070
Dragović, Vladimir; Radnović, Milena
4
2015
Bicentennial of the great Poncelet theorem (1813–2013): current advances. Zbl 1417.37034
Dragović, Vladimir; Radnović, Milena
13
2014
Pseudo-integrable billiards and arithmetic dynamics. Zbl 1351.37160
Dragović, Vladimir; Radnović, Milena
8
2014
Systems of Kowalevski type and discriminantly separable polynomials. Zbl 1357.37081
Dragović, Vladimir; Kukić, Katarina
6
2014
Discriminantly separable polynomials and quad-equations. Zbl 1309.37067
Dragović, Vladimir; Kukić, Katarina
4
2014
The Sokolov case, integrable Kirchhoff elasticae, and genus 2 theta functions via discriminantly separable polynomials. Zbl 1322.37026
Dragović, Vladimir; Kukić, Katarina
3
2014
Four-dimensional generalization of the Grioli precession. Zbl 1353.70024
Dragović, Vladimir; Gajić, Borislav
1
2014
Minkowski plane, confocal conics, and billiards. Zbl 1313.37057
Dragović, Vladimir; Radnović, Milena
5
2013
Quad-graphs and discriminantly separable polynomials of type \({\mathcal P}^2_3\). Zbl 1358.37110
Dragović, Vladimir; Kukić, Katarina
1
2013
Ellipsoidal billiards in pseudo-Euclidean spaces and relativistic quadrics. Zbl 1252.37049
Dragović, Vladimir; Radnović, Milena
13
2012
On the cases of Kirchhoff and Chaplygin of the Kirchhoff equations. Zbl 1252.70022
Dragović, Vladimir; Gajić, Borislav
5
2012
Billiard algebra, integrable line congruences, and double reflection nets. Zbl 1260.14040
Dragović, Vladimir; Radnović, Milena
4
2012
Algebro-geometric approach to the Yang–Baxter equation and related topics. Zbl 1289.14002
Dragović, Vladimir
2
2012
Poncelet porisms and beyond. Integrable billiards, hyperelliptic Jacobians and pencils of quadrics. Zbl 1225.37001
Dragović, Vladimir; Radnović, Milena
45
2011
New examples of systems of the Kowalevski type. Zbl 1309.37052
Dragović, Vladimir; Kukić, Katarina
4
2011
Poncelet-Darboux curves, their complete decomposition and Marden theorem. Zbl 1230.14038
Dragović, Vladimir
4
2011
Geometrization and generalization of the Kowalevski top. Zbl 1252.14021
Dragović, Vladimir
10
2010
Integrable billiards and quadrics. Zbl 1202.37078
Dragović, V.; Radnović, M.
6
2010
Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065
Dragović, V.; Radnović, M.
21
2009
Systems of Hess-Appel’rot type and Zhukovskii property. Zbl 1213.37088
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar Žarko
6
2009
Singular Manakov flows and geodesic flows on homogeneous spaces of \(SO(N)\). Zbl 1185.53090
Dragović, V.; Gajić, B.; Jovanović, Božidar Žarko
6
2009
Multivalued hyperelliptic continued fractions of generalized Halphen type. Zbl 1176.37005
Dragović, Vladimir
4
2009
Elliptic curves and a new construction of integrable systems. Zbl 1229.37064
Dragović, V.; Gajić, B.
1
2009
Hyperelliptic Jacobians as billiard algebra of pencils of quadrics: Beyond Poncelet porisms. Zbl 1154.37022
Dragović, Vladimir; Radnović, Milena
9
2008
Hirota-Kimura type discretization of the classical nonholonomic Suslov problem. Zbl 1229.37084
Dragović, V.; Gajić, B.
2
2008
Geometry of integrable billiards and pencils of quadrics. Zbl 1118.37029
Dragović, Vladimir; Radnović, Milena
13
2006
Systems of Hess-Appel’rot type. Zbl 1122.37044
Dragović, Vladimir; Gajić, Borislav
8
2006
A survey of the analytical description of periodic elliptical billiard trajectories. Zbl 1244.37023
Dragović, V.; Radnović, M.
3
2006
Matrix Lax polynomials, geometry of Prym varieties and systems of Hess-Appel’rot type. Zbl 1122.37043
Dragović, Vladimir; Gajić, Borislav
2
2006
Algebro-geometric integration in classical and statistical mechanics. Zbl 1265.70001
Dragović, Vladimir
1
2006
Separability in Hamilton-Jacobi sense in two degrees of freedom and the Appell hypergeometric functions. Zbl 1080.35149
Dragović, Vladimir
1
2005
Cayley-type conditions for billiards within \(k\) quadrics in \(\mathbb R^d\). Zbl 1108.37041
Dragović, Vladimir; Radnović, Milena
12
2004
The Lagrange bitop on \(\text{so}(4)\times \text{so}(4)\) and geometry of the Prym varieties. Zbl 1125.37316
Dragović, Vladimir; Gajić, Borislav
7
2004
The Wagner curvature tensor in nonholonomic mechanics. Zbl 1023.37036
Dragović, V.; Gajić, B.
10
2003
On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies. Zbl 1061.70010
Dragović, Vladimir; Jovanović, Božidar Žarko; Radnović, Milena
6
2003
Analysis on manifolds. Applications of geometry, mechanics, topology. (Analiza na mnogostrukostima. Primene u geometriji, mekhanitsi, topologiji.) Zbl 1083.53039
Dragović, Vladimir; Milinković, Darko
1
2003
The Appell hypergeometric functions and classical separable mechanical systems. Zbl 1046.70009
Dragović, Vladimir
7
2002
An \(L\)-\(A\) pair for the Hess-Apel’rot system and a new integrable case for the Euler-Poisson equations on \(so(4)\times so(4)\). Zbl 1010.70004
Dragović, Vladimir; Gajić, Borislav
10
2001
On periodical trajectories of the billiard systems within an ellipsoid in \(\mathbb{R}^d\) and generalized Cayley’s condition. Zbl 0927.37019
Dragović, Vladimir; Radnović, Milena
12
1998
Conditions of Cayley’s type for ellipsoidal billiard. Zbl 0999.37019
Dragović, Vladimir; Radnović, Milena
10
1998
Generalizations of classical integrable nonholonomic rigid body systems. Zbl 0934.70007
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar Žarko
9
1998
On integrable potential perturbations of the billiard system within an ellipsoid. Zbl 0884.70023
Dragović, Vladimir; Jovanović, Božidar Žarko
5
1997
Periodic trajectories of billiard inside quadrics and algebraic curves. Zbl 1011.37036
Dragović, Vladimir; Radnović, Milena
1
1997
all top 5

Cited by 148 Authors

36 Dragović, Vladimir
18 Radnović, Milena
10 Gajić, Borislav
9 Jovanović, Božidar Žarko
7 Tabachnikov, Serge L.
6 Borisov, Alekseĭ Vladimirovich
5 Fedorov, Yuri N.
5 Mamaev, Ivan Sergeevich
5 Vedyushkina, Viktoriya Viktorovna
4 Fomenko, Anatoliĭ Timofeevich
4 Kukić, Katarina
3 Bialy, Misha
3 Garcia, Ronaldo A.
3 Jovanović, Vladimir
3 Mironov, Andreĭ Evgen’evich
3 Shramchenko, Vasilisa
3 Tsyganov, Andreĭ Vladimirovich
2 Adabrah, Anani Komla
2 Agafonov, Sergey I.
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Baralić, Đorđe
2 Barrett, Dennis I.
2 Bizyaev, Ivan Alekseevich
2 Bloch, Anthony M.
2 Bobenko, Alexander Ivanovich
2 Bukhshtaber, Viktor Matveevich
2 Del Centina, Andrea
2 Dobrogowska, Alina
2 Fernandez, Oscar E.
2 Goryuchkina, Irina V.
2 Hungerbuhler, Norbert
2 Koiller, Jair
2 Leites, Dimitry A.
2 Llibre, Jaume
2 López, José Luis
2 Pérez Sinusía, Ester
2 Pinto de Carvalho, Sônia
2 Previato, Emma
2 Ramírez-Ros, Rafael
2 Remsing, Claudiu-Cristian
2 Reznik, Dan S.
2 Rom-Kedar, Vered
2 Veselov, Alexander Petrovich
2 Żołądek, Henryk
1 Abenda, Simonetta
1 Akopyan, Arseniy V.
1 Albers, Peter
1 Alvarez-Ramírez, Martha
1 Arathoon, Philip
1 Avksentyev, Evgeny A.
1 Barreiro, Antonio
1 Bejancu, Aurel
1 Belozerov, Gleb V.
1 Belyaev, Aleksandr Vladimirovich
1 Biggs, Rory
1 Bogatyrev, Andrei Borisovich
1 Burov, Aleksandr Anatol’evich
1 Casanova, Sabrina
1 Casas, Pablo S.
1 Chipalkatti, Jaydeep V.
1 Coutinho dos Santos, Luciano
1 Damianou, Pantelis Andrea
1 Delgado, Emma
1 Essmann, Erich
1 Felder, Giovanni
1 Ferreira, Chelo
1 Frączek, Krzysztof Marek
1 Galeani, Sergio
1 Gasiorek, Sean
1 Glutsyuk, Alexey A.
1 Goliński, Tomasz
1 Gorkin, Pamela B.
1 Govindarajan, Rama
1 Grbić, Branko
1 Grozman, P. Ya.
1 Guerman, Anna D.
1 Gugnin, Dmitriĭ V.
1 Guha, Partha
1 Halbeisen, Lorenz J.
1 Hanusa, Christopher R. H.
1 Hu, Jianbing
1 Jakimowicz, Grzegorz
1 Jiang, Caigui
1 Jokanović, Dušan S.
1 Karginova, Ekaterina E.
1 Kharcheva, Irina S.
1 Kharlamov, Mikhail P.
1 Khesin, Boris A.
1 Kilin, Aleksandr Aleksandrovich
1 Kodama, Yuji
1 Kurek, Radosław
1 Kusejko, Katharina
1 Lecian, Orchidea Maria
1 Lompert, Konrad
1 Los, Johan
1 Lubowiecki, Paweł
1 Mahankali, Arvind V.
1 Matsutani, Shigeki
1 Menini, Laura
1 Mepschen, Tiemar
...and 48 more Authors
all top 5

Cited in 64 Serials

24 Regular and Chaotic Dynamics
7 Journal of Mathematical Physics
6 Journal of Geometry and Physics
5 Advances in Mathematics
5 Sbornik: Mathematics
5 Proceedings of the Steklov Institute of Mathematics
5 Arnold Mathematical Journal
4 Communications in Mathematical Physics
4 Letters in Mathematical Physics
4 Journal of Mathematical Sciences (New York)
3 Archive for History of Exact Sciences
3 Moscow University Mathematics Bulletin
3 Nonlinearity
3 The Mathematical Intelligencer
3 Discrete and Continuous Dynamical Systems
3 Communications in Nonlinear Science and Numerical Simulation
2 International Journal of Control
2 Beiträge zur Algebra und Geometrie
2 Ergodic Theory and Dynamical Systems
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Nonlinear Mathematical Physics
2 Journal of Modern Dynamics
2 Journal of Geometric Mechanics
1 Modern Physics Letters A
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Geometriae Dedicata
1 Journal of Geometry
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 European Journal of Combinatorics
1 Annals of Global Analysis and Geometry
1 Physica D
1 The Journal of Geometric Analysis
1 L’Enseignement Mathématique. 2e Série
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Celestial Mechanics and Dynamical Astronomy
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Russian Journal of Mathematical Physics
1 Finite Fields and their Applications
1 Integral Transforms and Special Functions
1 Izvestiya: Mathematics
1 Transformation Groups
1 Nonlinear Dynamics
1 Journal for Geometry and Graphics
1 Chaos
1 Annales Henri Poincaré
1 Dynamical Systems
1 Theoretical and Applied Mechanics
1 International Journal of Geometric Methods in Modern Physics
1 Mediterranean Journal of Mathematics
1 International Journal of Number Theory
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 International Electronic Journal of Geometry
1 Nelineĭnaya Dinamika

Citations by Year

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