The Liouville Arnold Nekhoroshev theorem for non-compact invariant manifolds

DOI10.1088/0305-4470/36/7/102zbMath1039.37040arXivmath/0210346OpenAlexW3100333467MaRDI QIDQ4465838

Emanuele Fiorani, Giovanni Giachetta, Gennadi A. Sardanashvily

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210346

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (12)

Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds ⋮ SUPERINTEGRABLE HAMILTONIAN SYSTEMS WITH NONCOMPACT INVARIANT SUBMANIFOLDS: KEPLER SYSTEM ⋮ Univalent functions and integrable systems ⋮ Quantization of noncommutative completely integrable Hamiltonian systems ⋮ Globally superintegrable Hamiltonian systems ⋮ Sub-Riemannian geometry of the coefficients of univalent functions ⋮ Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds ⋮ TIME-DEPENDENT SUPERINTEGRABLE HAMILTONIAN SYSTEMS ⋮ The Poincaré-Lyapunov-Nekhoroshev theorem for involutory systems of vector fields ⋮ COMPLETELY AND PARTIALLY INTEGRABLE HAMILTONIAN SYSTEMS IN THE NONCOMPACT CASE ⋮ Numerical Methods and Closed Orbits in the Kepler–Heisenberg Problem ⋮ GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

This page was built for publication: The Liouville Arnold Nekhoroshev theorem for non-compact invariant manifolds