Properly-degenerate KAM theory (following V. I. Arnold)
From MaRDI portal
Publication:620001
DOI10.3934/dcdss.2010.3.545zbMath1282.37033OpenAlexW2278145264MaRDI QIDQ620001
Luigi Chierchia, Gabriella Pinzari
Publication date: 19 January 2011
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2010.3.545
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) (n)-body problems (70F10) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items (14)
On the co-existence of maximal and whiskered tori in the planetary three-body problem ⋮ Hamiltonian Perturbation Theory on a Lie Algebra. Application to a non-autonomous Symmetric Top ⋮ Invariant tori for multi-dimensional integrable Hamiltonians coupled to a single thermostat ⋮ Quantitative \textsc{kam} theory, with an application to the three-body problem ⋮ Families of invariant tori in KAM theory: interplay of integer characteristics ⋮ The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori ⋮ Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem ⋮ Aspects of the planetary Birkhoff normal form ⋮ Invariant tori for a class of singly thermostated Hamiltonians ⋮ General Jacobi coordinates and Herman resonance for some nonheliocentric celestial \(N\)-body problems ⋮ Flow reconstruction and invariant tori in the spatial three-body problem ⋮ Unnamed Item ⋮ Canonical coordinates for the planetary problem ⋮ Global Kolmogorov tori in the planetary \(N\)-body problem. Announcement of result
This page was built for publication: Properly-degenerate KAM theory (following V. I. Arnold)