Drift of slow variables in slow-fast Hamiltonian systems

DOI10.1016/j.physd.2008.05.001zbMath1153.37338arXiv0710.1576OpenAlexW2039823117MaRDI QIDQ1000717

Vassili Gelfreich, N. Brännström

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1576

zbMATH Keywords

normal hyperbolicityslow-fast systemsheteroclinic

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (6)

Averaging in Weakly Coupled Discrete Dynamical Systems ⋮ Fermi acceleration and adiabatic invariants for non-autonomous billiards ⋮ Transport in Hamiltonian systems with slowly changing phase space structure ⋮ Perturbations of geodesic flows by recurrent dynamics ⋮ Unbounded energy growth in Hamiltonian systems with a slowly varying parameter ⋮ Hyperbolic tori in Hamiltonian systems with slowly varying parameter

Cites Work

• Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• Singular perturbation theory for homoclinic orbits in a class of near- integrable Hamiltonian systems
• Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system
• Another proof of the averaging principle for fully coupled dynamical systems with hyperbolic fast motions
• Fermi acceleration in non-autonomous billiards
• Multi-bump orbits homoclinic to resonance bands
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Drift of slow variables in slow-fast Hamiltonian systems