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