On the measure of the structure around the last KAM torus before and after its break-up

DOI10.1007/BF00051602zbMath0880.58016MaRDI QIDQ1363489

Claude Froeschlé, Elena Lega

Publication date: 28 September 1997

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

diffusionsymplectic mapsstandard mapKAM torus

Mathematics Subject Classification ID

Ergodic theory (37A99)

Related Items (2)

Finding regions of bounded motion in binary asteroid environment using Lagrangian descriptors ⋮ On the relationship between the Bruno function and the breakdown of invariant tori

Cites Work

• Resonant motion in the restricted three-body problem
• Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping
• Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
• The elliptic restricted problem at the 3:1 resonance
• The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping
• Asteroid motion near the 3:1 resonance
• Superexponential stability of KAM tori.
• Numerical investigations of the structure around an invariant KAM torus using the frequency map analysis
• Invariant spectra of orbits in dynamical systems
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• Slow crossing of a stochastic layer

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