KAM theorem for generic analytic perturbations of the Euler system

DOI10.1007/PL00001474zbMath0909.70013OpenAlexW2074875004MaRDI QIDQ1369818

Marta Mazzocco

Publication date: 20 October 1997

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001474

zbMATH Keywords

Arnold's schemepositional potentialrotations of rigid body with fixed pointsufficiently large initial kinetic energy

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation methods for rigid body dynamics (70E20)

Related Items

Invariant tori in Hamiltonian systems with high order proper degeneracy ⋮ KAM in generalized Hamiltonian systems with multi-scales ⋮ Superintegrable Hamiltonian systems: Geometry and perturbations ⋮ The quasi-periodic centre-saddle bifurcation ⋮ Perturbations of superintegrable systems ⋮ On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials