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]

2017

Agapov S.V., Bialy M., Mironov A.E. Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs. Communications in mathematical physics, Vol. 351, No. 3 (2017), p. 993-1007.

Agapov S.V., Borchashvili M.R. On a certain sub-Riemannian geodesic flow on the Heisenberg group. Siberian Mathematical Journal, Vol. 58, No. 6 (2017), p. 1218-1227.

Belykh V.N. On the evolution of a finite volume of ideal incompressible fluid with a free surface. Doklady Physics, Vol. 62, No. 4 (2017), p. 213-217.

Belykh V.N. Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface. Siberian Mathematical Journal, Vol. 58, No. 4 (2017), p. 564-577.

Belykh V.N. Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval. Siberian Mathematical Journal, Vol. 58, No. 5 (2017), p. 778-785.

Davletshina V.N., Mironov A.E. On commuting ordinary differential operators with polynomial coefficients corresponding to spectral curves of genus two. Bulletin of the Korean Mathematical Society, Vol. 54, No. 5 (2017), p. 1669-1675.

Bialy M., Mironov A.E. Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane. Advances in Mathematics, Vol. 313 (2017), p. 102-126.

Bialy M., Mironov A.E. Angular billiard and algebraic Birkhoff conjecture. Journal of Geometry and Physics, Vol. 115 (2017), p. 150-156.

Bialy M., Mironov A.E. In search of periodic solutions for a reduction of the Benney chain. Journal of Math. Physics, Vol. 58, No. 11 (2017).

Mironov A.E., Zuo D. Spectral curve of the Halphen operator. Proceedings of the Edinburgh Mathematical Society, Vol. 60, No. 2 (2017), p. 451-460.

Adilkhanov A.N., Taimanov I.A. On numerical study of the discrete spectrum of a two-dimensional Schrodinger operator with soliton potential. Communications in Nonlinear Science and Numerical Simulation, Vol. 42 (2017), p. 83-92.

Abbondandolo A., Asselle L., Benedetti G., Mazzucchelli M., Taimanov I.A. The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere. Advanced Nonlinear Studies, Vol. 17 (2017), p. 17-30.

Baikov V. A., Gilmanov R. R., Taimanov I.A., Yakovlev A. A. Topological characteristics of oil and gas reservoirs and their applications. Towards Integrative Machine Learning and Knowledge Extraction, p. 182-193, Lecture Notes in Comput. Sci., 10344, Lecture Notes in Artificial Intelligence, Springer, Cham, 2017.