Trajectories in a neighbourhood of asymptotic surfaces ofa prioriunstable Hamiltonian systems
From MaRDI portal
Publication:4796804
DOI10.1088/0951-7715/15/6/313zbMath1031.37052OpenAlexW2023105480MaRDI QIDQ4796804
No author found.
Publication date: 1 March 2004
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/15/6/313
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items
A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems, Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems, Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem, Separatrix maps in slow-fast Hamiltonian systems, Global diffusion on a tight three-sphere, A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold, Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system, Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system, The diffusion rate in the Mather problem, Perturbations of geodesic flows by recurrent dynamics, Arnold diffusion in a neighborhood of strong resonances, Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows., A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations, Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system, A numerical study of Arnold diffusion in a priori unstable systems, Diffusion along transition chains of invariant tori and Aubry–Mather sets