Qualitative theory of differential equations and dynamical systems, classical mechanics, dynamics of a rigid body interacting with a medium, differential geometry and topology, differential and topological diagnostics, fractal theory, mathematical logic and informatics
Main publications:
M. V. Shamolin, “Low-dimensional and multi-dimensional pendulums in nonconservative fields. Part 1”, J. Math. Sci. (N. Y.), 233:2 (2018), 173–299
M. V. Shamolin, “Low-dimensional and multi-dimensional pendulums in nonconservative fields. Part 2”, J. Math. Sci. (N. Y.), 233:3 (2018), 301–397
M. V. Shamolin, “Integrable variable dissipation systems on the tangent bundle of a multi-dimensional sphere and some applications”, Journal of Mathematical Sciences, 230:2 (2018), 185–353
M. V. Shamolin, “Variety of Integrable Cases in Dynamics of Low- and Multi-Dimensional Rigid Bodies in Nonconservative Force Fields”, Journal of Mathematical Sciences, 204:4 (2015), 379–530
V. V. Trofimov, M. V. Shamolin, “Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems”, J. Math. Sci., 180:4 (2012), 365–530
M. V. Shamolin, “Dynamical systems with variable dissipation: Approaches, methods, and applications”, J. Math. Sci., 162:6 (2009), 741–908
ISTINA
