First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
From MaRDI portal
Publication:1118220
DOI10.1007/BF01077805zbMath0668.58014MaRDI QIDQ1118220
Publication date: 1987
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (11)
Killing tensors on tori ⋮ Fourth-degree polynomial integrals of a natural mechanical system on a two-dimensional torus ⋮ Classical perturbation theory and resonances in some rigid body systems ⋮ Rational integrals of a natural mechanical system on the 2-torus ⋮ On the rational integrals of two-dimensional natural systems ⋮ High-degree polynomial integrals of a natural system on the two-dimensional torus ⋮ On momentum-polynomial integrals of a reversible Hamiltonian system of a certain form ⋮ On first integrals of geodesic flows on a two-torus ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. I ⋮ Low-dimensional and multidimensional pendulums in nonconservative fields. II ⋮ Open problems and questions about geodesics
This page was built for publication: First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
