V. V. Kozlov, “Topological obstructions to the integrability of natural mechanical systems”, Dokl. Akad. Nauk SSSR, 249:6 (1979), 1299

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G. V. Belozerov, “Geodesic flow on an intersection of several confocal quadrics in $\mathbb{R}^n$ ”, Sb. Math., 214:7 (2023), 897–918
G. V. Belozerov, “Integrability of a geodesic flow on the intersection of several confocal quadrics”, Dokl. Math., 107:1 (2023), 1–3
V. N. Zav'yalov, “Billiard with slipping by an arbitrary rational angle”, Sb. Math., 214:9 (2023), 1191–1211
A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Russian Math. Surveys, 78:5 (2023), 881–954
A. V. Boeva, R. R. Mukhin, “Variatsionnoe ischislenie v tselom: rozhdenie, stanovlenie, prilozheniya”, Chebyshevskii sb., 24:3 (2023), 263–288
V. V. Vedyushkina, V. N. Zav'yalov, “Realization of geodesic flows with a linear first integral by billiards with slipping”, Sb. Math., 213:12 (2022), 1645–1664
V. V. Kozlov, “On the integrability of the equations of dynamics in a non-potential force field”, Russian Math. Surveys, 77:6 (2022), 1087–1106
A. V. Bolsinov, A. P. Veselov, Y. Ye, “Chaos and integrability in $\operatorname{SL}(2,\mathbb R)$ -geometry”, Russian Math. Surveys, 76:4 (2021), 557–586
I. V. Volovich, “On Integrability of Dynamical Systems”, Proc. Steklov Inst. Math., 310 (2020), 70–77
N. V. Denisova, “On Momentum-Polynomial Integrals of a Reversible Hamiltonian System of a Certain Form”, Proc. Steklov Inst. Math., 310 (2020), 131–136
S. V. Agapov, “On first integrals of two-dimensional geodesic flows”, Siberian Math. J., 61:4 (2020), 563–574
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
S. V. Bolotin, V. V. Kozlov, “Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom”, Izv. Math., 81:4 (2017), 671–687
Ivan Yu. Polekhin, “Classical Perturbation Theory and Resonances in Some Rigid Body Systems”, Regul. Chaotic Dyn., 22:2 (2017), 136–147
S. V. Bolotin, V. V. Kozlov, “Topological approach to the generalized $n$ -centre problem”, Russian Math. Surveys, 72:3 (2017), 451–478
S. P. Kuznetsov, V. P. Kruglov, “On some simple examples of mechanical systems with hyperbolic chaos”, Proc. Steklov Inst. Math., 297 (2017), 208–234
V. V. Kozlov, “Polynomial conservation laws for the Lorentz gas and the Boltzmann–Gibbs gas”, Russian Math. Surveys, 71:2 (2016), 253–290
S. P. Kuznetsov, “Giperbolicheskii khaos v avtokolebatelnykh sistemakh na osnove troinogo sharnirnogo mekhanizma: Proverka otsutstviya kasanii ustoichivykh i neustoichivykh mnogoobrazii fazovykh traektorii”, Nelineinaya dinam., 12:1 (2016), 121–143
I. A. Taimanov, “On first integrals of geodesic flows on a two-torus”, Proc. Steklov Inst. Math., 295 (2016), 225–242