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Belyaev, Alexandr Vladimirovich

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Total publications: 7
Scientific articles: 7

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Belyaev, Alexandr Vladimirovich
Associate professor
Candidate of physico-mathematical sciences
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Website: https://avbelyaev.blogspot.ru
Keywords: Euler-Poisson Equations
UDC: 517.933, 517.92, 517.927.7, 517.927.71, 517.927.75

Subject:

Hamiltonian systems theory

   
Main publications:
  1. A. V. Belyaev, “On the full list of finite-valued solutions of the Euler-Poisson equations having four first integrals”, Mathematische Nachrichten, 285:10 (2012), 1199–1229  crossref  mathscinet
  2. A. V. Belyaev, “O pryamom dokazatelstve teoremy Puankare ob invariantnykh torakh”, Ukraїnskii matematichnii visnik, 8:3 (2011), 343–355  crossref

https://www.mathnet.ru/eng/person23181
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/221198
https://elibrary.ru/author_items.asp?spin=5639-5777
https://www.researchgate.net/profile/Alexander_Belyaev12

Publications in Math-Net.Ru Citations
2016
1. A. V. Belyaev, “Representation of solutions to the problem of the motion of a heavy rigid body in the Kovalevskaya case in terms of Weierstrass $\zeta$- and $\wp$-functions and nonintegrability of the Hess case by quadratures”, Mat. Sb., 207:7 (2016),  3–28  mathnet  mathscinet  elib; Sb. Math., 207:7 (2016), 889–914  isi  scopus 3
2. Alexandr Belyaev, “On the entire and finite valued solutions of the three-body problem”, Theor. Appl. Mech., 43:2 (2016),  229–253  mathnet  isi
2015
3. A. V. Belyaev, “On the general solution of the problem of the motion of a heavy rigid body in the Hess case”, Mat. Sb., 206:5 (2015),  5–34  mathnet  mathscinet  zmath  elib; Sb. Math., 206:5 (2015), 621–649  isi  scopus 9
2011
4. A. V. Belyaev, “Asymptotic behaviour of singular points of solutions of the problem of heavy $n$-dimensional body motion in the Lagrange case”, Mat. Sb., 202:11 (2011),  55–74  mathnet  mathscinet  zmath  elib; Sb. Math., 202:11 (2011), 1617–1635  isi  scopus 2
2001
5. A. V. Belyaev, “The asymptotics of the solutions to the Euler–Poisson's equations in the singular points of the solutions”, Mat. Fiz. Anal. Geom., 8:2 (2001),  128–142  mathnet  mathscinet  zmath
1985
6. A. V. Belyaev, “The motion of an $n$-dimensional rigid body with symmetry group $\mathrm{SO}(k)\otimes\mathrm{SO}(n-k)$ in a field with linear potential. Invariants of a coadjoint representation of some Lie algebras”, Dokl. Akad. Nauk SSSR, 282:5 (1985),  1038–1042  mathnet  mathscinet  zmath
1981
7. A. V. Belyaev, “On the motion of a multidimensional body with fixed point in a gravitational field”, Mat. Sb. (N.S.), 114(156):3 (1981),  465–470  mathnet  mathscinet  zmath; Math. USSR-Sb., 42:3 (1982), 413–418 12

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