Invariants of fifth-order homogeneous systems with dissipation

DOI10.1134/s1064562423701466OpenAlexW4392796456MaRDI QIDQ6194442

M. V. Shamolin

Publication date: 19 March 2024

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

Full work available at URL: https://doi.org/10.1134/s1064562423701466

zbMATH Keywords

integrabilitysystem with dissipationessential singularities of invariantinvariant of dynamical system

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) Symmetries and invariants of dynamical systems (37C79)

Cites Work

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• Rational integrals of quasi-homogeneous dynamical systems
• Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds
• New cases of integrable odd-order systems with dissipation
• 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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