New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds

DOI10.1134/S1064562421050148zbMath1493.37075OpenAlexW4210747845MaRDI QIDQ2116722

M. V. Shamolin

Publication date: 18 March 2022

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

Full work available at URL: https://doi.org/10.1134/s1064562421050148

zbMATH Keywords

potentialdissipationintegrabilitygeodesicsdynamical systemtranscendental first integral

Mathematics Subject Classification ID

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

Cites Work

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• Rational integrals of quasi-homogeneous dynamical systems
• New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds
• Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems
• Integrability and non-integrability in Hamiltonian mechanics
• On integrability in transcendental functions
• Tensor invariants and integration of differential equations
• Symmetry

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