New cases of integrable odd-order systems with dissipation

DOI10.1134/S1064562420020234zbMath1494.37038OpenAlexW3043079392MaRDI QIDQ2243731

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/s1064562420020234

zbMATH Keywords

dissipationintegrabilitydynamical systemtranscendental 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 (5)

Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds ⋮ Invariant forms of geodesic, potential, and dissipative systems on tangent bundles of finite-dimensional manifolds ⋮ Invariants of fifth-order homogeneous systems with dissipation ⋮ Invariant volume forms of variable dissipation systems with three degrees of freedom ⋮ On optimal rotation of a rigid body by applying internal forces

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
• Unnamed Item

This page was built for publication: New cases of integrable odd-order systems with dissipation