Classification of singularities in the problem of motion of the Kovalevskaya top in a double force field

DOI10.1070/SM2012V203N02ABEH004222zbMath1316.70006arXiv1408.0077MaRDI QIDQ2884666

Pavel E. Ryabov, Mikhail P. Kharlamov

Publication date: 30 May 2012

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0077

zbMATH Keywords

bifurcation diagrammomentum mapsingularities of integrable Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems in classical and celestial mechanics (37N05) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (6)

Net diagrams for the Fomenko invariant in the integrable system with three degrees of freedom ⋮ Topological atlas of the Kovalevskaya top in a double field ⋮ Phase topology of one irreducible integrable problem in the dynamics of a rigid body ⋮ Phase topology of one system with separated variables and singularities of the symplectic structure ⋮ Extensions of the Appelrot classes for the generalized gyrostat in a double force field ⋮ Qualitative Analysis of the Reyman – Semenov–Tian–Shansky Integrable Case of the Generalized Kowalewski Top

This page was built for publication: Classification of singularities in the problem of motion of the Kovalevskaya top in a double force field