Complete integrability for Hamiltonian systems with a cone potential

DOI10.1016/0022-0396(90)90119-AzbMath0713.34003OpenAlexW2963937980MaRDI QIDQ749715

Gianluca Gorni, Gaetano Zampieri

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-0396(90)90119-a

zbMATH Keywords

potentialHamiltonian systemsfirst integralscompletely integrable systemssmall perturbation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Analytic integrability for a class of cone potential Hamiltonian systems ⋮ Reducing scattering problems under cone potentials to normal form by global canonical transformations ⋮ Integrability of a system of \(N\) electrons subjected to Coulombian interactions

Cites Work

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• On the inversion of Lagrange-Dirichlet theorem
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Integrable Hamiltonians with exponential potential
• Asymptotics of trajectories for cone potentials
• On the non-integrability of some generalized Toda lattices
• Three integrable Hamiltonian systems connected with isospectral deformations
• Continuity of scattering data for particles on the line with directed repulsive interactions
• A class of C^∞-integrable Hamiltonian systems
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]

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