Higher order first integrals of autonomous dynamical systems

DOI10.1016/j.geomphys.2021.104383zbMath1512.37066arXiv2110.02326WikidataQ114173590 ScholiaQ114173590MaRDI QIDQ6379478

Antonios Mitsopoulos, Michael Tsamparlis

Publication date: 5 October 2021

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) 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) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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