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Agapov Sergei Vadimovich

Publications


| scientific publications | by years | by types | by times cited | common list |



   2026
1. Sergei V. Agapov, “On Rational Integrals of Geodesic Flows on 2-Surfaces”, Regul. Chaotic Dyn., 31:1 (2026), 150–160  mathnet  crossref;

   2025
2. S. V. Agapov, D. V. Solov'ev, “Rational integrals of natural systems in a magnetic field”, Siberian Math. J., 66:3 (2025), 609–617  mathnet  crossref  crossref  mathscinet
3. S. Agapov, “Local high-degree polynomial integrals of geodesic flows and the generalized hodograph method”, Journal of Geometry and Physics, 217 (2025), 105629, 16 pp.  crossref 1
4. S. V. Agapov, “On metrizability of some special functions”, Ufa Math. J., 17:4 (2025), 1–8  mathnet  crossref

   2024
5. S. V. Agapov, A. E. Mironov, “Finite-Gap Potentials and Integrable Geodesic Equations on a 2-Surface”, Proc. Steklov Inst. Math., 327 (2024), 1–11  mathnet  crossref  crossref  isi  scopus
6. 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.  crossref  mathscinet  zmath 4
7. 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.  crossref  mathscinet  zmath 8
8. S. Basalaev, S. Agapov, “Dynamics in the Kepler problem on the Heisenberg group”, Analysis and Mathematical Physics, 14 (2024), 58, 15 pp.  crossref  mathscinet  zmath

   2023
9. S. V. Agapov, “High-degree polynomial integrals of a natural system on the two-dimensional torus”, Siberian Math. J., 64:2 (2023), 261–268  mathnet  crossref  crossref  mathscinet  zmath

   2024
10. 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”, Siberian Math. J., 64:5 (2024), 1063–1075  mathnet  crossref  crossref  zmath
11. S. V. Agapov, M. M. Tursunov, “On the rational integrals of two-dimensional natural systems”, Siberian Math. J., 64:4 (2024), 787–795  mathnet  crossref  crossref  zmath

   2023
12. S. Agapov, A. Potashnikov, V. Shubin, “Integrable magnetic geodesic flows on 2-surfaces”, Nonlinearity, 36:4 (2023), 2128–2147  crossref  mathscinet  zmath  adsnasa  isi 3
13. S. V. Agapov, “Letter to the Editor”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 47  mathnet  crossref

   2022
14. S. V. Agapov, “Non-polynomial integrals of multidimensional geodesic flows and Lie algebras”, Sib. Èlektron. Mat. Izv., 19:2 (2022), 1088–1093  mathnet  crossref  mathscinet

   2021
15. 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  mathnet  crossref  crossref  zmath  isi  elib  scopus
16. S. Agapov, V. Shubin, “Rational integrals of 2-dimensional geodesic flows: new examples”, Journal of Geometry and Physics, 170 (2021), 104389  crossref  mathscinet  zmath  isi  scopus 14

   2020
17. S. V. Agapov, Siberian Math. J., 61:4 (2020), 563–574  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
18. S. V. Agapov, Siberian Math. J., 61:2 (2020), 199–207  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2019
19. 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  crossref  mathscinet  zmath  isi  scopus 5

   2017
20. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
21. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 11

   2016
22. S. V. Agapov, “On the sub-Riemannian geodesic flow for the Goursat distribution”, Siberian Math. J., 57:1 (2016), 1–6  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2015
23. S. V. Agapov, “On the integrable magnetic geodesic flow on a 2-torus”, Sib. Èlektron. Mat. Izv., 12 (2015), 868–873  mathnet  crossref  mathscinet  zmath  elib  scopus

   2013
24. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus


© Steklov Math. Inst. of RAS, 2026