The concept of integrability on cantor sets for Hamiltonian systems

DOI10.1007/BF01230665zbMath0542.58014OpenAlexW2014684127MaRDI QIDQ3330172

Jürgen Pöschel

Publication date: 1982

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230665

zbMATH Keywords

Hamilton-Jacobi equationcomplete solutionsmooth foliationinvariant KAM-toriDifferentiable Hamiltonian systems close to nondegenerate, integrable Hamiltonian systemssmooth, independent integrals in involution

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) Integration on manifolds; measures on manifolds (58C35) Celestial mechanics (70F15)

Related Items (1)

On the length and area spectrum of analytic convex domains

Cites Work

• ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS
• THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
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