Meromorphic parametric non-integrability; the inverse square potential
From MaRDI portal
Publication:1570981
DOI10.1007/PL00004233zbMath0963.70010OpenAlexW2037527416MaRDI QIDQ1570981
Publication date: 28 June 2001
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004233
non-integrabilitymeromorphic first integralcanonical variablesinverse square four-body probleminverse square two-body potentials
(n)-body problems (70F10) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)
Related Items
Non-integrability of the three-body problem ⋮ Anisotropic Kepler and anisotropic two fixed centres problems ⋮ Periodic three-body orbits with vanishing angular momentum in the Jacobi–Poincaré ‘strong’ potential ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Multiparticle systems. The algebra of integrals and integrable cases ⋮ Dynamics of a charged particle in a progressive plane wave ⋮ Corps différentiels et flots géodésiques I : Orthogonalité aux constantes pour les équations différentielles autonomes ⋮ Nonintegrability of the reduced planar three-body problem with generalized force
This page was built for publication: Meromorphic parametric non-integrability; the inverse square potential