Hamiltonian perturbation theory on a manifold
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Publication:1898008
DOI10.1007/BF00692068zbMath0840.58039MaRDI QIDQ1898008
Publication date: 7 July 1996
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
bifurcationsHamiltonian perturbation theoryNekhoroshev's theoremglobal action-angle coordinatesdegenerate Hamiltonian systems
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Hamiltonian and Lagrangian mechanics (70H99)
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Cites Work
- Le problème général des variables actions-angles. (The general problem of action-angle variables)
- Stability of motions near resonances in quasi-integrable Hamiltonian systems
- Monodromy in the champagne bottle
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- The critical inclination in artificial satellite theory
- Examples for obstructions to action-angle coordinates
- Virtual singularities in the artificial satellite theory
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- Regularization of kepler's problem and the averaging method on a manifold
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