scientific article; zbMATH DE number 1532030

zbMath0958.37038MaRDI QIDQ4514082

Antonio Giorgilli, Ugo Locatelli

Publication date: 16 April 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

KAM theoremsmall divisorsLindstedt's series

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (9)

Normal forms à la Moser for aperiodically time-dependent Hamiltonians in the vicinity of a hyperbolic equilibrium ⋮ The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence ⋮ Normal form for lower dimensional elliptic tori in Hamiltonian systems ⋮ A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation ⋮ Kolmogorov variation: Kam with knobs \textit{(à la Kolmogorov)} ⋮ On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems ⋮ Persistence of Diophantine flows for quadratic nearly integrable Hamiltonians under slowly decaying aperiodic time dependence ⋮ Quasiperiodic Hamiltonian motions, scale invariance, harmonic oscillators ⋮ Improved convergence estimates for the Schröder-Siegel problem

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