Partial integrability of Hamiltonian systems with homogeneous potential

DOI10.1134/S1560354710040106zbMath1258.70021WikidataQ104404830 ScholiaQ104404830MaRDI QIDQ618233

Maria Przybylska, Andrzej J. Maciejewski

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

integrabilitymonodromy groupHamiltonian equationsdifferential Galois grouphypergeometric equationnon-integrability criteria

Mathematics Subject Classification ID

Three-body problems (70F07) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (5)

Polynomial integrability of Hamiltonian systems with homogeneous potentials of degree \(k\) ⋮ Non-integrability of the three-body problem ⋮ Darboux points and integrability of homogeneous Hamiltonian systems with three and more degrees of freedom. Nongeneric cases ⋮ Nonintegrability of the reduced planar three-body problem with generalized force ⋮ Non-integrability of a class of Hamiltonian systems

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