An Example of Instability in High-dimensional Hamiltonian Systems

DOI10.1093/imrn/rnr043zbMath1242.37038arXiv1006.2296OpenAlexW1481515176MaRDI QIDQ3225190

Abed Bounemoura

Publication date: 15 March 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2296

zbMATH Keywords

instabilityHamiltonianGevrey perturbation

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (5)

Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem ⋮ Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders ⋮ Perturbations of geodesic flows by recurrent dynamics ⋮ An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension ⋮ Sharp Nekhoroshev estimates for the three-body problem around periodic orbits

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