Dragovich Vladimir Il'ich

Publications in Math-Net.Ru

1. Poncelet pairs of a circle and parabolas from a confocal family and Painlevé VI equations
   
   Izv. RAN. Ser. Mat., 90:1 (2026),  149–174
2. Poncelet Porism in Singular Cases
   
   Regul. Chaotic Dyn., 30:4 (2025),  598–611
3. Integrability of Homogeneous Exact Magnetic Flows on Spheres
   
   Regul. Chaotic Dyn., 30:4 (2025),  582–597
4. A Lax representation and integrability of homogeneous exact magnetic flows on spheres in all dimensions
   
   Uspekhi Mat. Nauk, 80:5(485) (2025),  183–184
5. Magic billiards: the case of elliptic boundaries
   
   Mat. Sb., 216:5 (2025),  83–105
6. Spherical and Planar Ball Bearings — a Study of Integrable Cases
   
   Regul. Chaotic Dyn., 28:1 (2023),  62–77
7. Billiards Within Ellipsoids in the 4-Dimensional Pseudo-Euclidean Spaces
   
   Regul. Chaotic Dyn., 28:1 (2023),  14–43
8. Spherical and Planar Ball Bearings — Nonholonomic Systems with Invariant Measures
   
   Regul. Chaotic Dyn., 27:4 (2022),  424–442
9. Billiard Ordered Games and Books
   
   Regul. Chaotic Dyn., 27:2 (2022),  132–150
10. Integrable billiards on a Minkowski hyperboloid: extremal polynomials and topology
    
    Mat. Sb., 213:9 (2022),  34–69
11. 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
12. Division of $n$-Dimensional Euclidean Space into Circumscribed $n$-Cuboids
    
    Trudy Mat. Inst. Steklova, 310 (2020),  149–160
13. Elliptical Billiards in the Minkowski Plane and Extremal Polynomials
    
    Rus. J. Nonlin. Dyn., 15:4 (2019),  397–407
14. Periodic Billiards Within Conics in the Minkowski Plane and Akhiezer Polynomials
    
    Regul. Chaotic Dyn., 24:5 (2019),  464–501
15. Caustics of Poncelet Polygons and Classical Extremal Polynomials
    
    Regul. Chaotic Dyn., 24:1 (2019),  1–35
16. Two-Valued Groups, Kummer Varieties, and Integrable Billiards
    
    Arnold Math. J., 4:1 (2018),  27–57
17. Discriminantly separable polynomials and the generalized Kowalevski top
    
    Theor. Appl. Mech., 44:2 (2017),  229–236
18. Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space
    
    Fundam. Prikl. Mat., 20:2 (2015),  51–64
19. On the completeness of the Manakov integrals
    
    Fundam. Prikl. Mat., 20:2 (2015),  35–49
20. Note on Free Symmetric Rigid Body Motion
    
    Regul. Chaotic Dyn., 20:3 (2015),  293–308
21. Pseudo-integrable billiards and double reflection nets
    
    Uspekhi Mat. Nauk, 70:1(421) (2015),  3–34
22. Four-Dimensional Generalization of the Grioli Precession
    
    Regul. Chaotic Dyn., 19:6 (2014),  656–662
23. Systems of Kowalevski Type and Discriminantly Separable Polynomials
    
    Regul. Chaotic Dyn., 19:2 (2014),  162–184
24. The Sokolov case, integrable Kirchhoff elasticae, and genus 2 theta functions via discriminantly separable polynomials
    
    Trudy Mat. Inst. Steklova, 286 (2014),  246–261
25. On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations
    
    Regul. Chaotic Dyn., 17:5 (2012),  431–438
26. New Examples of Systems of the Kowalevski Type
    
    Regul. Chaotic Dyn., 16:5 (2011),  484–495
27. Integrable billiards and quadrics
    
    Uspekhi Mat. Nauk, 65:2(392) (2010),  133–194
28. The Wagner Curvature Tenzor in Nonholonomic Mechanics
    
    Regul. Chaotic Dyn., 8:1 (2003),  105–123
29. Solutions of the Yang Equation and Algebraic Curves of Genus $>1$
    
    Funktsional. Anal. i Prilozhen., 31:2 (1997),  70–73
30. Solutions of the Yang equation with rational irreducible spectral curves
    
    Izv. RAN. Ser. Mat., 57:1 (1993),  59–75
31. Solutions of the Yang equation with rational spectral curve
    
    Algebra i Analiz, 4:5 (1992),  104–116
32. Baxter reduction of rational solutions to the Yang equation
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 5,  84–86


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