New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds

DOI10.1134/S1064562420060265zbMath1482.37058OpenAlexW3134287541MaRDI QIDQ2243828

M. V. Shamolin

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562420060265

zbMATH Keywords

dissipationintegrabilitytranscendental first integral

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (2)

Invariant volume forms of variable dissipation systems with three degrees of freedom ⋮ New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds

Cites Work

• Rational integrals of quasi-homogeneous dynamical systems
• Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems
• Integrability and non-integrability in Hamiltonian mechanics
• On integrability in transcendental functions
• Symmetry
• Unnamed Item
• Unnamed Item

This page was built for publication: New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds