Analytic integrability for a class of cone potential Hamiltonian systems

DOI10.1016/0022-0396(91)90161-2zbMath0721.34010OpenAlexW1981737390MaRDI QIDQ2640746

Vinicio Moauro, Piero Negrini, Waldyr Muniz Oliva

Publication date: 1991

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90161-2

zbMATH Keywords

first integralsanalytic Hamiltonian systemanalytically Liouville integrable

Mathematics Subject Classification ID

Hamilton's equations (70H05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (3)

Escape to infinity in the presence of magnetic fields ⋮ Integrability of a system of \(N\) electrons subjected to Coulombian interactions ⋮ Unbounded trajectories of dynamical systems.

Cites Work

• Complete integrability for Hamiltonian systems with a cone potential
• A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
• Integrable Hamiltonians with exponential potential
• Asymptotics of trajectories for cone potentials
• Regularity of the scattering trajectories in classical mechanics
• Reducing scattering problems under cone potentials to normal form by global canonical transformations
• Continuity of scattering data for particles on the line with directed repulsive interactions
• A class of C^∞-integrable Hamiltonian systems

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