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

DOI10.1134/S1064562421020046zbMath1482.37059OpenAlexW4214510121MaRDI QIDQ2243859

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/s1064562421020046

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)

Cites Work

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• 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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