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Agapov, Sergei Vadimovich

Total publications: 20 (19)
in MathSciNet: 15 (15)
in zbMATH: 17 (17)
in Web of Science: 10 (10)
in Scopus: 10 (10)
Cited articles: 9
Citations: 43
Presentations: 9

Number of views:
This page:5585
Abstract pages:2665
Full texts:815
References:346
Researcher
Candidate of physico-mathematical sciences (2016)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 14.09.1990
E-mail: ,

Subject:

Integrable Hamiltonian systems, geodesic flows

   
Main publications:
  1. 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
  2. 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
  3. S. Agapov, V. Shubin, “Rational integrals of 2-dimensional geodesic flows: new examples”, Journal of Geometry and Physics, 170 (2021), 104389
  4. S. Agapov, A. Potashnikov, V. Shubin, “Integrable magnetic geodesic flows on 2-surfaces”, Nonlinearity, 36:4 (2023), 2128-2147
  5. S. Agapov, V. Shubin, “New examples of non-polynomial integrals of two-dimensional geodesic flows”, J. Phys. A: Math. Theor., 57 (2024), 015204

https://www.mathnet.ru/eng/person68711
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/1065927
https://www.webofscience.com/wos/author/record/Q-1583-2017
https://www.scopus.com/authid/detail.url?authorId=55782528200

Full list of publications:
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Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. 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  mathnet
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.  crossref  mathscinet  zmath
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.  crossref  mathscinet  zmath
4. 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
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  mathnet  crossref  crossref  mathscinet  zmath
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  mathnet  crossref  zmath
7. S. V. Agapov, M. M. Tursunov, “On the rational integrals of two-dimensional natural systems”, Sibirsk. Mat. Zh., 64:4 (2023), 665–674  mathnet  crossref  zmath
8. S. Agapov, A. Potashnikov, V. Shubin, “Integrable magnetic geodesic flows on 2-surfaces”, Nonlinearity, 36:4 (2023), 2128–2147  crossref  mathscinet  zmath  adsnasa  isi
9. S. V. Agapov, “Letter to the Editor”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 47  mathnet  crossref

   2022
10. 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
11. 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
12. 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 7

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

   2019
15. 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 4

   2017
16. 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
17. 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 9

   2016
18. 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
19. 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
20. 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

Presentations in Math-Net.Ru
1. Магнитные геодезические потоки на двумерных поверхностях: новые интегрируемые примеры
S. V. Agapov
Modern geometry methods
April 19, 2023 19:00
2. Об уравнениях типа Хопфа, возникающих в задаче об интегрируемых геодезических потоках
S. V. Agapov

November 11, 2022 17:40
3. Первые интегралы двумерных геодезических потоков
S. V. Agapov
Modern geometry methods
November 3, 2021 17:00
4. Рациональные интегралы геодезических потоков
S. V. Agapov

August 10, 2021 16:50
5. Integrable geodesic flows on 2-surfaces
S. V. Agapov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 8, 2021 12:15   
6. О полиномиальных интегралах магнитного геодезического потока на двумерном торе на нескольких уровнях энергии
S. V. Agapov, A. A. Valyuzhenich
Hamiltonian systems and statistical mechanics
November 26, 2018
7. On one recurrence relation for a geodesic flow in a magnetic field on a two-dimensional torus
S. V. Agapov, A. A. Valyuzhenich
2023-ary quasigroups and related topics
October 5, 2018 11:00
8. On integrability of geodesic flows on the two-torus
S. V. Agapov
International Conference "Geometric Analysis and Control Theory"
December 12, 2016 15:25   
9. On Integrability of the Sub-Riemannian Geodesic Flow for Goursat Distribution
Sergey Agapov
International youth conference "Geometry & Control"
April 15, 2014 15:30   

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