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Dragovich, Vladimir Il'ich

Professor
PhD (1992)
E-mail:

https://www.mathnet.ru/eng/person20764
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/361289

Publications in Math-Net.Ru Citations
2025
1. Vladimir Dragović, Milena Radnović, “Poncelet Porism in Singular Cases”, Regul. Chaotic Dyn., 30:4 (2025),  598–611  mathnet
2. Vladimir Dragović, Borislav Gajić, Bozidar Jovanović, “Integrability of Homogeneous Exact Magnetic Flows on Spheres”, Regul. Chaotic Dyn., 30:4 (2025),  582–597  mathnet 2
3. V. I. Dragović, B. Gajić, B. Jovanović, “A Lax representation and integrability of homogeneous exact magnetic flows on spheres in all dimensions”, Uspekhi Mat. Nauk, 80:5(485) (2025),  183–184  mathnet 1
4. V. Dragović, M. Radnović, “Magic billiards: the case of elliptic boundaries”, Mat. Sb., 216:5 (2025),  83–105  mathnet  mathscinet; Sb. Math., 216:5 (2025), 654–673  isi  scopus
2023
5. Vladimir Dragović, Borislav Gajić, Bozidar Jovanović, “Spherical and Planar Ball Bearings — a Study of Integrable Cases”, Regul. Chaotic Dyn., 28:1 (2023),  62–77  mathnet  mathscinet 3
6. Vladimir Dragović, Milena Radnović, “Billiards Within Ellipsoids in the 4-Dimensional Pseudo-Euclidean Spaces”, Regul. Chaotic Dyn., 28:1 (2023),  14–43  mathnet  mathscinet 2
2022
7. Vladimir Dragović, Borislav Gajić, Bozidar Jovanović, “Spherical and Planar Ball Bearings — Nonholonomic Systems with Invariant Measures”, Regul. Chaotic Dyn., 27:4 (2022),  424–442  mathnet  mathscinet 4
8. Vladimir Dragović, Sean Gasiorek, Milena Radnović, “Billiard Ordered Games and Books”, Regul. Chaotic Dyn., 27:2 (2022),  132–150  mathnet  mathscinet  isi  scopus 10
9. V. Dragović, S. Gasiorek, M. Radnović, “Integrable billiards on a Minkowski hyperboloid: extremal polynomials and topology”, Mat. Sb., 213:9 (2022),  34–69  mathnet  mathscinet  zmath; Sb. Math., 213:9 (2022), 1187–1221  isi  scopus 4
2020
10. Vladimir Dragović, Borislav Gajić, Božidar Jovanović, “Demchenko's nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis”, Theor. Appl. Mech., 47:2 (2020),  257–287  mathnet  isi  scopus 4
11. Vladimir Dragović, Roger Fidèle Ranomenjanahary, “Division of $n$-Dimensional Euclidean Space into Circumscribed $n$-Cuboids”, Trudy Mat. Inst. Steklova, 310 (2020),  149–160  mathnet  mathscinet; Proc. Steklov Inst. Math., 310 (2020), 137–147  isi  scopus
2019
12. A. K. Adabrah, V. Dragović, M. Radnović, “Elliptical Billiards in the Minkowski Plane and Extremal Polynomials”, Rus. J. Nonlin. Dyn., 15:4 (2019),  397–407  mathnet  scopus
13. Anani Komla Adabrah, Vladimir Dragović, Milena Radnović, “Periodic Billiards Within Conics in the Minkowski Plane and Akhiezer Polynomials”, Regul. Chaotic Dyn., 24:5 (2019),  464–501  mathnet  mathscinet  isi  scopus 10
14. Vladimir Dragović, Milena Radnović, “Caustics of Poncelet Polygons and Classical Extremal Polynomials”, Regul. Chaotic Dyn., 24:1 (2019),  1–35  mathnet  isi  scopus 19
2018
15. V. M. Buchstaber, V. I. Dragovich, “Two-Valued Groups, Kummer Varieties, and Integrable Billiards”, Arnold Math. J., 4:1 (2018),  27–57  mathnet  mathscinet  scopus 7
2017
16. Vladimir Dragovich, Katarina Kukić, “Discriminantly separable polynomials and the generalized Kowalevski top”, Theor. Appl. Mech., 44:2 (2017),  229–236  mathnet  isi 3
2015
17. 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  mathnet  mathscinet  elib; J. Math. Sci., 223:6 (2017), 686–694 14
18. B. Gajić, V. Dragović, B. Jovanović, “On the completeness of the Manakov integrals”, Fundam. Prikl. Mat., 20:2 (2015),  35–49  mathnet  mathscinet  elib; J. Math. Sci., 223:6 (2017), 675–685 7
19. Vladimir Dragović, Borislav Gajić, Božidar Jovanović, “Note on Free Symmetric Rigid Body Motion”, Regul. Chaotic Dyn., 20:3 (2015),  293–308  mathnet  mathscinet  zmath
20. V. I. Dragović, M. Radnović, “Pseudo-integrable billiards and double reflection nets”, Uspekhi Mat. Nauk, 70:1(421) (2015),  3–34  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 70:1 (2015), 1–31  isi  scopus 17
2014
21. Vladimir Dragović, Borislav Gajić, “Four-Dimensional Generalization of the Grioli Precession”, Regul. Chaotic Dyn., 19:6 (2014),  656–662  mathnet  mathscinet  zmath  isi 1
22. Vladimir Dragović, Katarina Kukić, “Systems of Kowalevski Type and Discriminantly Separable Polynomials”, Regul. Chaotic Dyn., 19:2 (2014),  162–184  mathnet  mathscinet  zmath  isi  scopus 14
23. Vladimir Dragović, Katarina Kukić, “The Sokolov case, integrable Kirchhoff elasticae, and genus 2 theta functions via discriminantly separable polynomials”, Trudy Mat. Inst. Steklova, 286 (2014),  246–261  mathnet  elib; Proc. Steklov Inst. Math., 286 (2014), 224–239  isi  elib  scopus 9
2012
24. Vladimir Dragović, Borislav Gajić, “On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations”, Regul. Chaotic Dyn., 17:5 (2012),  431–438  mathnet  mathscinet  zmath 5
2011
25. Vladimir Dragović, Katarina Kukić, “New Examples of Systems of the Kowalevski Type”, Regul. Chaotic Dyn., 16:5 (2011),  484–495  mathnet  mathscinet  zmath 9
2010
26. V. Dragović, M. Radnović, “Integrable billiards and quadrics”, Uspekhi Mat. Nauk, 65:2(392) (2010),  133–194  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:2 (2010), 319–379  isi  elib  scopus 22
2003
27. V. Dragović, B. Gajić, “The Wagner Curvature Tenzor in Nonholonomic Mechanics”, Regul. Chaotic Dyn., 8:1 (2003),  105–123  mathnet  mathscinet  zmath 18
1997
28. V. I. Dragovich, “Solutions of the Yang Equation and Algebraic Curves of Genus $>1$”, Funktsional. Anal. i Prilozhen., 31:2 (1997),  70–73  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:2 (1997), 129–131  isi 1
1993
29. V. I. Dragovich, “Solutions of the Yang equation with rational irreducible spectral curves”, Izv. RAN. Ser. Mat., 57:1 (1993),  59–75  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 42:1 (1994), 51–65  isi 3
1992
30. V. I. Dragovich, “Solutions of the Yang equation with rational spectral curve”, Algebra i Analiz, 4:5 (1992),  104–116  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:5 (1993), 921–931 1
31. V. I. Dragovich, “Baxter reduction of rational solutions to the Yang equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 5,  84–86  mathnet  mathscinet  zmath

2021
32. Vladimir Dragović, Borislav Gajić, Božidar Jovanović, “Alexey Vladimirovich Borisov (1965–2021)”, Theor. Appl. Mech., 48:2 (2021),  I–III  mathnet
2020
33. Vladimir I. Dragović, Borislav Gajić, Božidar Jovanović, “Foreword”, Theor. Appl. Mech., 47:2 (2020),  II  mathnet
34. Vladimir Dragović, Borislav Gajić, Božidar Jovanović, “Veljko A. Vujičić (1929–2020)”, Theor. Appl. Mech., 47:2 (2020),  III–V  mathnet
35. Vladimir Dragović, “Stevo Komljenović 1930–2020”, Theor. Appl. Mech., 47:1 (2020),  I–II  mathnet
2009
36. V. Dragović, M. Radnović, “Bifurcations of Liouville tori in elliptical billiards”, Regul. Chaotic Dyn., 14:4-5 (2009),  479–494  mathnet  mathscinet  zmath 48
37. V. Dragović, B. Gajić, “Elliptic curves and a new construction of integrable systems”, Regul. Chaotic Dyn., 14:4-5 (2009),  466–478  mathnet  mathscinet  zmath 1
2008
38. V. Dragović, B. Gajić, “Hirota–Kimura Type Discretization of the Classical Nonholonomic Suslov Problem”, Regul. Chaotic Dyn., 13:4 (2008),  250–256  mathnet  mathscinet  zmath 2

Presentations in Math-Net.Ru
1. Integrable magnetic flows on $n$-dimensional spheres and nonholonomic mechanics
V. I. Dragovich, B. Gajić, B. Jovanović
Regular and Chaotic Dynamics. On the 30th Anniversary of the Journal Regular and Chaotic Dynamics
October 30, 2025 10:00
2. Isoperiodic deformations of meromorphic differentials on Riemann surfaces, soliton equations, and SU(N) Seiberg – Witten theory
V. I. Dragovich
Regular and Chaotic Dynamics. On the 30th Anniversary of the Journal Regular and Chaotic Dynamics
October 27, 2025 16:30
3. Parable of the Parabola
V. I. Dragovich
Conference Regular & Chaotic Dynamics in memory of Alexey V. Borisov
March 27, 2025 10:00   
4. Ellipsoidal Billiards, Combinatorics, and Polynomial Pell’s Equations
V. I. Dragovich
Differential geometry and applications
March 4, 2024 16:45
5. Dynamics of Zolotarev polynomials, Painleve VI equations, and Poncelet polygons
V. I. Dragovich
Seminar on Complex Analysis (Gonchar Seminar)
December 13, 2021 17:00
6. Resonance of ellipsoidal billiard trajectories and extremal rational functions
V. I. Dragovich
Regular and Chaotic Dynamics
November 22, 2021 16:10   
7. Chebyshev dynamics, isoharmonic deformations, and constrained Schlesinger systems
V. I. Dragovich
International Conference "Nonlinear Waves and Frobenius Structures in Geometry and Physics" Dedicated to the Memory of Boris Dubrovin
November 18, 2021 17:30   
8. Dynamics of extremal polynomials, isomonodromic and isoharmonic deformations
Vladimir Dragović
International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh
February 2, 2021 18:30   
9. Dynamics of extremal polynomials and Painleve VI equations
V. I. Dragovich
International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday
January 22, 2020 16:50   
10. Integrable billiards, extremal polynomials, and Painleve equations
V. I. Dragovich
International conference "Topology and Physics" dedicated to the 80th birthday of S P Novikov
September 6, 2018 17:05
11. Ellipsoidal Billiards and Chebyshev-type polynomials
V. I. Dragović
Dynamical systems and differential equations
September 4, 2018 18:30
12. Billiards within quadrics and Chebyshev type polynomials
V. I. Dragovich
Seminar on analytic theory of differential equations
May 30, 2018 14:00
13. Billiards within quadrics and Chebyshev type polynomials
Vladimir Dragović
International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday
May 24, 2018 15:00   
14. Pencils of conics and cubics and the Kovalevskaya Top. Lecture 2
V. I. Dragovich
3-rd Summer School on Geometric Methods in Mathematical Physics
June 28, 2013 16:00   
15. Pencils of conics and cubics and the Kovalevskaya Top. Lecture 1
V. I. Dragovich
3-rd Summer School on Geometric Methods in Mathematical Physics
June 27, 2013 14:30   
16. The Sokolov system and integrable Kirchhoff elasticae via discriminantly separable polynomials and Buchstaber's two-valued groups
Vladimir Dragović
International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday
June 22, 2013 15:00   
17. Billiards and quadrics, Poncelet porisms and Kowalevski top
V. I. Dragovich
Combinatorics of Vassiliev invariants
May 17, 2012 17:00
18. Integrable lattice geometry and pencils of quadrics
V. I. Dragovich
International conference "Geometrical Methods in Mathematical Physics"
December 15, 2011 11:05   

Organisations