Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree - 2

DOI10.1016/j.physleta.2011.03.042zbMath1242.70030OpenAlexW2126091874MaRDI QIDQ434025

Adam Mahdi, Claudia Valls, Jaume Llibre

Publication date: 9 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150419

zbMATH Keywords

homogeneous polynomial potentialnatural Hamiltonian systems with 2-degrees of freedom

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items

Polynomial integrability of Hamiltonian systems with homogeneous potentials of degree \(k\), On the integrability of the Hamiltonian systems with homogeneous polynomial potentials, Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree --3, Integrability conditions of geodesic flow on homogeneous Monge manifolds, Meromorphic integrability of the Hamiltonian systems with homogeneous potentials of degree \(-4\)

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