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]

2020

Agapov S.V. Rational integrals of a natural mechanical system on the 2-torus. Siberian Mathematical Journal, Vol. 61, No. 2 (2020), p. 199-207.

Agapov S.V. On first integrals of two-dimensional geodesic flows. Siberian Mathematical Journal, Vol. 61, No. 4 (2020), p. 563-574.

Belykh V.N. Superconvergent Algorithms for the Numerical Solution of the Laplace Equation in Smooth Axisymmetric Domains. Computation Mathematics and Mathematics Physics, Vol. 60, No. 4 (2020), p. 545-557.

Belykh V.N. Numerical Solution of the Axisymmetric Dirichlet-Neumann Problem for Laplace's Equation (Algorithms Without Saturation). Springer Nature Switzerland AG 2020 G. V. Demidenko et al. (eds.), Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy. Springer, Cham, 2020.

Godunov S.K., Denisenko V.V., Klyuchinskii D.V., Fortova S.V., Shepelev V.V. Study of Entropy Properties of a Linearized Version of Godunov’s Method. Computational Mathematics and Mathematical Physics, Vol. 60, No. 4 (2020), p. 628-640.

Malyshev A., Sadkane M. Computing the distance to continuous-time instability of quadratic matrix polynomials. Numerische Mathematik, Vol. 145 (2020), p. 149-165.

Malyshev A. Dual Formulation of the TV-Stokes Denoising Model for Multidimensional Vectorial Images. Krzhizhanovskaya V. et al. (eds) Computational Science – ICCS 2020. Lecture Notes in Computer Science, vol. 12141. Springer, Cham, 2020.

Malyshev A. Depth Map Estimation with Consistent Normals from Stereo Images. Krzhizhanovskaya V. et al. (eds) Computational Science – ICCS 2020. Lecture Notes in Computer Science, vol. 12141. Springer, Cham, 2020.

Bialy M., Mironov A.E., Tabachnikov S. Wire billiards, the first steps. Advances in Mathematics, Vol. 368 (2020), 107154 (published online), 30 pp.

Bialy M., Mironov A.E., Shalom L. Magnetic billiards: Non-integrability for strong magnetic field; Gutkin type examples. Journal of Geometry and Physics, Vol. 154 (2020), 103716 (published online), 19 pp.

Dobrogowska A., Mironov A.E. Periodic One-Point Rank One Commuting Difference Operators. Geometric Methods in Physics XXXVIII, Trends in Mathematics, Springer Nature, 2020 (published online), p. 67-74.

Mauleshova G.S., Mironov A.E. Positive one–point commuting difference operators. Integrable Systems and Algebraic Geometry, Part of London Mathematical Society Lecture Note Series, 1, Cambridge University Press, 2020, p. 395–412.

Mauleshova G.S., Mironov A.E. Discretization of Commuting Ordinary Differential Operators of Rank 2 in the Case of Elliptic Spectral Curves. Proc. Steklov Inst. Math., Vol. 310 (2020), p. 202-213.

Kordyukov Yu.A., Taimanov I.A. Quasiclassical approximation for magnetic monopoles. Russian Mathematical Surveys, Vol. 75, No. 6 (2020), p. 1067-1088.

Dobrynin A., Ori O., Putz M., Vesnin A. Generalized topological efficiency – case study with C84 fullerene. Fullerenes, Nanotubes and Carbon Nanostructures, Vol. 28, No. 7 (2020), p. 545-550.

Egorov A., Vesnin A. On correlation of hyperbolic volumes of fullerenes with their properties. Comput. Math. Biophys., Vol. 8, No. 1 (2020), p. 150-167.

Egorov A., Vesnin A. Ideal right-angled polyhedra in Lobachevsky space. Chebyshevskii Sbornik, Vol. 21, No. 2 (2020), p. 65-83.

Gill A., Prabhakar M., Vesnin A. Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves. Journal of Knot Theory and Its Ramifications, Vol. 29, No. 10 (2020), 2042008.

Ivanov M., Vesnin A. F-polynomials of tabulated virtual knots. Journal of Knot Theory and Its Ramifications, Vol. 29, No. 8 (2020), 2050054, 17 pp.

Ivanov M., Vesnin A. Polynomials of prime virtual knots of genus 1 of complexity at most 5. Siberian Mathematical Journal, Vol. 61, No. 6 (2020), p. 994-1001.