Necessary conditions for the existence of additional first integrals for Hamiltonian systems with homogeneous potential

DOI10.1088/0951-7715/25/2/255zbMath1251.37057OpenAlexW2002855187WikidataQ104404757 ScholiaQ104404757MaRDI QIDQ3118947

Maria Przybylska, Andrzej J. Maciejewski, Haruo Yoshida

Publication date: 6 March 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/25/2/255

zbMATH Keywords

integrability Hamiltonian system differential Galois theory first integrals Morales-Ramis theorem

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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