Asymptotics of trajectories for cone potentials

DOI10.1016/0167-2789(85)90008-9zbMath0587.58025OpenAlexW2012039268MaRDI QIDQ1072183

Eugene Gutkin

Publication date: 1985

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90008-9

zbMATH Keywords

generalized Toda latticesscattering transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (13)

Asymptotics of trajectories for Newtonian dynamics with directed force ⋮ Analytic integrability for a class of cone potential Hamiltonian systems ⋮ Reducing scattering problems under cone potentials to normal form by global canonical transformations ⋮ Regularity of the scattering trajectories in classical mechanics ⋮ Integrable many-body problems and functional equations ⋮ Using scattering theory to compute invariant manifolds and numerical results for the laser-driven Hénon-Heiles system ⋮ Escape to infinity in the presence of magnetic fields ⋮ Continuity of scattering data for particles on the line with directed repulsive interactions ⋮ Integrability of a system of \(N\) electrons subjected to Coulombian interactions ⋮ Asymptotic velocities in classical mechanics ⋮ Unbounded trajectories of dynamical systems. ⋮ Billiard dynamics: An updated survey with the emphasis on open problems ⋮ Complete integrability for Hamiltonian systems with a cone potential

Cites Work

• Unnamed Item
• Asymptotic behaviour of particle motion under repulsive forces
• Integrable Hamiltonians with exponential potential
• Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization
• Three integrable Hamiltonian systems connected with isospectral deformations
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system

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