Vedyushkina Viktoriya Viktorovna

Publications in Math-Net.Ru

1. Billiards and integrable systems
   
   Uspekhi Mat. Nauk, 78:5(473) (2023),  93–176
2. Classification of Liouville foliations of integrable topological billiards in magnetic fields
   
   Mat. Sb., 214:2 (2023),  23–57
3. Billiard books of low complexity and realization of Liouville foliations of integrable systems
   
   Chebyshevskii Sb., 23:1 (2022),  53–82
4. Evolutionary force billiards
   
   Izv. RAN. Ser. Mat., 86:5 (2022),  116–156
5. Realization of geodesic flows with a linear first integral by billiards with slipping
   
   Mat. Sb., 213:12 (2022),  31–52
6. 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
7. Realization of focal singularities of integrable systems using billiard books with a Hooke potential field
   
   Chebyshevskii Sb., 22:5 (2021),  44–57
8. Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases
   
   Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021),  5–9
9. Topological type of isoenergy surfaces of billiard books
   
   Mat. Sb., 212:12 (2021),  3–19
10. Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems
    
    Mat. Sb., 212:8 (2021),  89–150
11. 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
12. Local modeling of Liouville foliations by billiards: implementation of edge invariants
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2,  28–32
13. Topological modeling of integrable systems by billiards: realization of numerical invariants
    
    Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  9–12
14. Integrable billiard systems realize toric foliations on lens spaces and the 3-torus
    
    Mat. Sb., 211:2 (2020),  46–73
15. 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
16. The Liouville foliation of the billiard book modelling the Goryachev–Chaplygin case
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 1,  64–68
17. Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards
    
    Izv. RAN. Ser. Mat., 83:6 (2019),  63–103
18. The Fomenko–Zieschang invariants of nonconvex topological billiards
    
    Mat. Sb., 210:3 (2019),  17–74
19. Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results
    
    Theor. Appl. Mech., 46:1 (2019),  47–63
20. Billiards and integrability in geometry and physics. New scope and new potential
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3,  15–25
21. 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
22. The Liouville foliation of nonconvex topological billiards
    
    Dokl. Akad. Nauk, 478:1 (2018),  7–11
23. Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems
    
    Mat. Sb., 209:12 (2018),  17–56
24. Fomenko–Zieschang invariants of topological billiards bounded by confocal parabolas
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 4,  22–28
25. Integrable topological billiards and equivalent dynamical systems
    
    Izv. RAN. Ser. Mat., 81:4 (2017),  20–67
26. Компьютерные модели в геометрии и динамике
    
    Intelligent systems. Theory and applications, 21:1 (2017),  164–191
27. A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
    
    Mat. Sb., 206:10 (2015),  127–176
28. Classification of billiard motions in domains bounded by confocal parabolas
    
    Mat. Sb., 205:8 (2014),  139–160
29. Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4,  18–27
30. Description of singularities for system “billiard in an ellipse”
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5,  31–34