S. V. Agapov, M. Bialy, A. E. Mironov, “Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of pdes”, Commun. Math. Phys., 351:3 (2017), 993–1007
S. Agapov, A. Valyuzhenich, “Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels”, Disc. Cont. Dyn. Syst. - A, 39:11 (2019), 6565-6583
S. Agapov, V. Shubin, “Rational integrals of 2-dimensional geodesic flows: new examples”, Journal of Geometry and Physics, 170 (2021), 104389
S. Agapov, A. Potashnikov, V. Shubin, “Integrable magnetic geodesic flows on 2-surfaces”, Nonlinearity, 36:4 (2023), 2128-2147
S. Agapov, V. Shubin, “New examples of non-polynomial integrals of two-dimensional geodesic flows”, J. Phys. A: Math. Theor., 57 (2024), 015204
S. V. Agapov, A. E. Mironov, “Finite-gap potentials and integrable geodesic equations on a 2-surface”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024
2.
S. Agapov, V. Shubin, “New examples of non-polynomial integrals of two-dimensional geodesic flows”, J. Phys. A: Math. Theor., 57 (2024), 015204 , 17 pp.
3.
S. V. Agapov, M. V. Demina, “Integrable geodesic flows and metrisable second-order ordinary differential equations”, Journal of Geometry and Physics, 199 (2024), 105168 , 14 pp.
4.
S. Basalaev, S. Agapov, “Dynamics in the Kepler problem on the Heisenberg group”, Analysis and Mathematical Physics, 14 (2024), 58 , 15 pp.
2023
5.
S. V. Agapov, “High-degree polynomial integrals of a natural system on the two-dimensional torus”, Siberian Math. J., 64:2 (2023), 261–268
6.
S. V. Agapov, Zh. Sh. Fakhriddinov, “On some properties of semi-Hamiltonian systems arising in the problem of integrable geodesic flows on the two-dimensional torus”, Sibirsk. Mat. Zh., 64:5 (2023), 881–894
7.
S. V. Agapov, M. M. Tursunov, “On the rational integrals of two-dimensional natural systems”, Sibirsk. Mat. Zh., 64:4 (2023), 665–674
8.
S. Agapov, A. Potashnikov, V. Shubin, “Integrable magnetic geodesic flows on 2-surfaces”, Nonlinearity, 36:4 (2023), 2128–2147
2022
9.
S. V. Agapov, “Non-polynomial integrals of multidimensional geodesic flows and Lie algebras”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 1088–1093
2021
10.
S. V. Agapov, A. A. Valyuzhenich, V. V. Shubin, “Some remarks on high degree polynomial integrals of the magnetic geodesic flow on the two-dimensional torus”, Siberian Math. J., 62:4 (2021), 581–585
11.
S. Agapov, V. Shubin, “Rational integrals of 2-dimensional geodesic flows: new examples”, Journal of Geometry and Physics, 170 (2021), 104389
S. V. Agapov, Siberian Math. J., 61:4 (2020), 563–574
13.
S. V. Agapov, Siberian Math. J., 61:2 (2020), 199–207
2019
14.
Agapov, S., Valyuzhenich, A., “Polynomial integrals of magnetic geodesic flows on the 2-torus on several energy levels”, Discrete and Continuous Dynamical Systems- Series A, 39:11 (2019), 6565-6583
S. V. Agapov, M. R. Borchashvili, “On a certain sub-Riemannian geodesic flow on the Heisenberg group”, Siberian Math. J., 58:6 (2017), 943–951
16.
S. V. Agapov, M. Bialy, A. E. Mironov, “Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs”, Commun. Math. Phys., 351:3 (2017), 993-1007
S. V. Agapov, “On the sub-Riemannian geodesic flow for the Goursat distribution”, Siberian Math. J., 57:1 (2016), 1–6
2015
18.
S. V. Agapov, “On the integrable magnetic geodesic flow on a 2-torus”, Sib. Èlektron. Mat. Izv., 12 (2015), 868–873
2013
19.
S. V. Agapov, D. N. Alexandrov, “Fourth-Degree Polynomial Integrals of a Natural Mechanical System on a Two-Dimensional Torus”, Math. Notes, 93:5 (2013), 780–783
2024
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