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

DOI10.1134/S1064562420050403zbMath1482.37057OpenAlexW3121016451MaRDI QIDQ2243808

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/s1064562420050403

zbMATH Keywords

dissipationintegrabilityintegrable 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 (1)

Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds

Cites Work

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• Dynamical systems with variable dissipation: approaches, methods, and applications
• 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

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