A. T. Fomenko, V. V. Vedyushkina, “Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results”, Theor. Appl. Mech., 46:1 (2019), 47–63
V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards”, Izv. Math., 83:6 (2019), 1137–1173
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrability in geometry and physics. New scope and new potential”, Moscow University Mathematics Bulletin, 74:3 (2019), 98–107
A. T. Fomenko, V. V. Vedyushkina, “Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field”, Russ. J. Math. Phys., 26:3 (2019), 320–333
V. V. Vedyushkina, A. T. Fomenko, “Topological obstacles to the realizability of integrable Hamiltonian systems by billiards”, Dokl. Math., 100:2 (2019), 463–466
A. T. Fomenko, V. V. Vedyushkina, “Topological billiards, conservation laws and classification of trajectories”, Functional Analysis and Geometry: Selim Grigorievich Krein Centennial, Contemporary Mathematics, 733, ed. P. Kuchment, E. Semenov, Amer. Math. Soc., 2019, 129–148
E. E. Karginova, “Liouville foliation of topological billiards in the Minkowski plane”, J. Math. Sci., 259:5 (2021), 656–675
S. E. Pustovoytov, “Topological analysis of a billiard in elliptic ring in a potential field”, J. Math. Sci., 259:5 (2021), 712–729
V. V. Vedyushkina, “The Liouville foliation of nonconvex topological billiards”, Dokl. Math., 97:1 (2018), 1–5
V. V. Vedyushkina, A. T. Fomenko, I. S. Kharcheva, “Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards”, Dokl. Math., 97:2 (2018), 174–176
V. A. Moskvin, “Topology of Liouville bundles of integrable billiard in non-convex domains”, Moscow University Mathematics Bulletin, 73:3 (2018), 103–110
K. I. Solodskikh, “Graph-manifolds and integrable Hamiltonian systems”, Sb. Math., 209:5 (2018), 739–758
V. V. Vedyushkina, “Fomenko–Zieschang invariants of topological billiards bounded by confocal parabolas”, Moscow University Mathematics Bulletin, 73:4 (2018), 150–155
V. V. Vedyushkina, I. S. Kharcheva, “Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems”, Sb. Math., 209:12 (2018), 1690–1727
V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable topological billiards and equivalent dynamical systems”, Izv. Math., 81:4 (2017), 688–733
V. V. Fokicheva, A. T. Fomenko, “Billiard systems as the models for the rigid body dynamics”, Advances in dynamical systems and control, Stud. Syst. Decis. Control, 69, ed. V. Sadovnichiy, M. Zgurovsky, Springer, Cham, 2016, 13–33
Fokicheva V.V., Fomenko A.T., “Integriruemye billiardy modeliruyut vazhnye integriruemye sluchai dinamiki tverdogo tela”, Doklady Akademii nauk, 465 (2015), 150
E. A. Kudryavtseva, “Liouville integrable generalized billiard flows and Poncelet type theorems”, J. Math. Sci., 225:4 (2017), 611–638