On monoparametric families of orbits sufficient for integrability of planar potentials with linear or quadratic invariants

DOI10.1088/0305-4470/23/16/016zbMath0706.70014OpenAlexW2084080781MaRDI QIDQ3486901

Efi Meletlidou, Simos Ichtiaroglou

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/16/016

zbMATH Keywords

inverse problem of dynamicsDarboux's resultsdirect construction of integrable systemsmonoparametric family of conic sections

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Axiomatics, foundations (70A05)

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