Arnold diffusion for a complete family of perturbations with two independent harmonics

DOI10.3934/dcds.2018261zbMath1524.37051arXiv1710.00029OpenAlexW2963351942WikidataQ129145150 ScholiaQ129145150MaRDI QIDQ6105867

Amadeu Delshams, Rodrigo G. Schaefer

Publication date: 9 June 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00029

zbMATH Keywords

Arnold diffusionnormally hyperbolic invariant manifoldsscattering maps

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (6)

Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems ⋮ Some questions looking for answers in dynamical systems ⋮ Arnold Diffusion in a Model of Dissipative System ⋮ A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold ⋮ Global effect of non-conservative perturbations on homoclinic orbits ⋮ Global instability in the restricted planar elliptic three body problem

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