KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
type: Item
instance of: scholarly article
title: KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
zbMATH Open document ID: 0807.58017
DOI: 10.1016/0167-2789(94)90184-8
author: Anthony D. Perry
author: Stephen Wiggins
published in: Physica D
publication date: 1995-02-28T00:00:00Z
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37G05
zbMATH DE Number: 699018
zbMATH Keywords: Lagrangian torus
zbMATH Keywords: KAM torus
zbMATH Keywords: flow
MaRDI profile type: Publication
full work available at URL: 0167-2789(94)90184-8
OpenAlex ID: W2052401568
cites work: Q5690486
cites work: Q4331528
cites work: Q3784906
cites work: Stability of motions near resonances in quasi-integrable Hamiltonian systems
cites work: Q5557227
cites work: Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory
cites work: Q3822488
cites work: Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
cites work: Q5512342
cites work: On the inclusion of an almost integrable analytic symplectomorphism into a Hamiltonian flow
cites work: Q4692932
cites work: Complex analysis and convolution operators
cites work: Generic Hamiltonian dynamical systems are neither integrable nor ergodic
cites work: Stable and Random Motions in Dynamical Systems
cites work: AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
cites work: Q4081689
cites work: Note on sums containing small divisors
cites work: Iteration of analytic functions
cites work: Über die Existenz einer Normalform analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung
cites work: Differentiable dynamical systems
cites work: Q3881472
cites work: Symplectic manifolds and their Lagrangian submanifolds
cites work: Global bifurcations and chaos. Analytical methods
cites work: Nekhoroshev estimates for quasi-convex Hamiltonian systems
description: scientific article; zbMATH DE number 699018