A class of C∞-integrable Hamiltonian systems

DOI10.1017/S0308210500024161zbMath0686.58016OpenAlexW2330466432MaRDI QIDQ4204838

M. S. A. C. Castilla, Waldyr Muniz Oliva

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024161

zbMATH Keywords

integrabilityHamiltonian systemsToda systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (4)

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 ⋮ Complete integrability for Hamiltonian systems with a cone potential

Cites Work

• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• Integrable Hamiltonians with exponential potential
• On the non-integrability of some generalized Toda lattices
• Integrability and non-integrability in Hamiltonian mechanics
• Continuity of scattering data for particles on the line with directed repulsive interactions
• The Toda lattice. II. Existence of integrals

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