Escape rates in Hamiltonian systems.

DOI10.1007/BF02765535zbMath1037.70510MaRDI QIDQ1285120

Alessandro Morbidelli, Massimo Vergassola

Publication date: 1997

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

normal formsresonancesinvariant tori

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15)

Related Items (3)

A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems ⋮ STICKINESS EFFECTS IN CONSERVATIVE SYSTEMS ⋮ Quantitative universality for a class of weakly chaotic systems

Cites Work

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• On the role of high order resonances in normal forms and in separatrix splitting
• The Nekhoroshev theorem and the asteroid belt dynamical system
• On a connection between KAM and Nekhoroshev's theorems
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS

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