Laboratory of Dynamical Systems

Publications  

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2022

Agapov S.V. Non-polynomial integrals of multidimensional geodesic flows and Lie algebras. Sib. Electron. Math. Rep., Vol. 19, No. 2 (2022), p. 1088-1093 [Russian].

Belykh V.N. Unsaturated Algorithms for the Numerical Solution of Elliptic Boundary Value Problems in Smooth Axisymmetric Domains. Siberian Advances in Mathematics, Vol. 32, No. 1 (2022), p. 157-185.

Bardakov V., Emel'yanenkov I., Ivanov M., Kozlovskaya T., Nasybullov T., Vesnin A. Virtual and universal braid groups, their quotients and representations. Journal of Group Theory, Vol. 25, No. 4 (2022), p. 679-712.

Gill A., Ivanov M., Prabhakar M., Vesnin A. Recurrent generalization of f-polynomials for virtual knots and links. Symmetry, Vol. 14, No. 1 (2022), 15.

Andreeva M.V., Kalyuzhnyuk A.V., Krutko V.V., Russkikh N.E., Taimanov I.A. Representative Elementary Volume via Averaged Scalar Minkowski Functionals. Lecture Notes in Mechanical Engineering, (2022), p. 533-539.

Kauffman L.H., Russkikh N.E., Taimanov I.A. Rectangular knot diagrams classification with deep learning. Journal of Knot Theory and its Ramifications, Vol. 31, No. 11 (2022), 2250067.

Kordyukov Y.A., Taimanov I.A. Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface. Regular and Chaotic Dynamics, Vol. 27, No. 4 (2022), p. 460-476.

Rademacher H.-B., Taimanov I.A. The second closed geodesic, the fundamental group, and generic Finsler metrics. Mathematische Zeitschrift, Vol. 302 (2022), p. 629-640.

Rademacher H.-B., Taimanov I.A. Closed geodesics on connected sums and 3-manifolds. Journal of Differential Geometry, Vol. 120, No. 3 (2022), p. 557-573.

Dobrynin A.A., Vesnin A.Yu. On the Wiener (r,s)-complexity of fullerene graphs. Fullerenes Nanotubes and Carbon Nanostructures, Vol. 30, No. 5 (2022), p. 508-511.