Quadratic first integrals of autonomous conservative dynamical systems

DOI10.1063/1.5141392zbMath1477.70034arXiv2007.11944OpenAlexW3098589366MaRDI QIDQ5140969

Michael Tsamparlis, Antonios Mitsopoulos

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11944

zbMATH Keywords

first integralsautonomous holonomic dynamical system

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items

Cubic first integrals of autonomous dynamical systems in E2 by an algorithmic approach, Higher order polynomial complex invariants for one-dimensional anharmonic potentials, Higher order first integrals of autonomous dynamical systems, First integrals of holonomic systems without Noether symmetries, Integrable time-dependent central potentials, Complex invariants for some time-independent and time-dependent classical systems

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