Extensions of the Appelrot classes for the generalized gyrostat in a double force field

DOI10.1134/S1560354714020063zbMath1309.70007arXiv1312.7244MaRDI QIDQ2513964

Mikhail P. Kharlamov

Publication date: 29 January 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7244

zbMATH Keywords

invariant relationscritical subsystemsAppelrot classesgeneralized two-field gyrostattypes of critical points

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Motion of a rigid body with a fixed point (70E17) Motion of the gyroscope (70E05)

Related Items (6)

Topological atlas of the Kowalevski-Sokolov top ⋮ Topological atlas of the Kovalevskaya-Yehia gyrostat ⋮ New invariant relations for the generalized two-field gyrostat ⋮ Generalizations of the Kovalevskaya case and quaternions ⋮ Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate ⋮ Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate

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