Laboratory of Dynamical Systems

Publications  

[2003] [2004] [2005] [2006] [2007] [2008] [2009] [2010] [2011] [2012] [2013] [2014] [2015] [2016] [2017] [2018] [2019] [2020] [2021] [2022] [2023]

2019

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, Vol. 39, No. 11 (2019), p. 6565-6583.

Belykh V.N. The problem of constructing unsaturated quadrature formulae on an interval. Sbornik: Mathematics, Vol. 210, No. 1 (2019), p. 24-58.

Belykh V.N. Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with a free surface. Journal of Applied Mechanics and Technical Physics, Vol. 60, No. 2 (2019), p. 382-391.

Bialy M., Mironov A.E. Polynomial non-integrability of magnetic billiards on the sphere and the hyperbolic plane. Russian Math. Surveys, Vol. 74, No. 2 (2019), p. 187–209.

Abdikalikova G., Mironov A.E. On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface. Siberian Electronic Mathematical Reports, Vol. 16 (2019), p.949-954 [Russian].

Mauleshova G.S., Mironov A.E. Difference Krichever–Novikov Operators of Rank 2. Proc. Steklov Inst. Math., Vol. 305 (2019), p. 195–208.

Mauleshova G.S., Mironov A.E. On Rank Two Algebro–Geometric Solutions of an Integrable Chain. Geometric Methods in Physics XXXVI, Trends in Mathematics, Birkhauser, Cham, (2019), p. 189-195.

Adilkhanov A.N., Pavlov A.V., Taimanov I.A. Discrete analog of the Jacobi set for vector fields. Computational Topology in Image Context, 1-11, Lecture Notes in Comput. Sci., 11382, Springer, Cham, 2019.

Kordyukov Yu.A., Taimanov I.A. Trace formula for the magnetic Laplacian. Russian Math. Surveys, Vol. 74, No. 2 (2019), p. 325–361.

Bardakov V., Singh M., Vesnin A. Structural aspects of twin and pure twin groups. Geometriae Dedicata, Vol. 203, No. 1 (2019), p. 135–154.

Dobrynin A., Vesnin A. On the Wiener complexity and the Wiener index of fullerene graphs. Proc. Steklov Inst. Math., Vol. 304 (2019), p. 175–185.

Kaur K., Prabhakar M., Vesnin A. An unknotting index for virtual links. Topology and Its Applications, Vol. 264 (2019), p. 352–368.

Kozlovskaya T., Vesnin A. Brieskorn manifolds, generalized Sieradski groups, and coverings of lens spaces. Proc. Steklov Inst. Math., Vol. 304 (2019), p. 175–185.

Li M., Lei F., Li F., Vesnin A. Density of roots of the Yamada polynomial of spatial graphs. Mathematics, Vol. 7, No. 11 (2019), 1071.