An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension

DOI10.1007/s00220-012-1532-xzbMath1267.37062OpenAlexW1995733475WikidataQ29031909 ScholiaQ29031909MaRDI QIDQ690743

Maria Saprykina, Vadim Yu. Kaloshin

Publication date: 29 November 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-012-1532-x

zbMATH Keywords

ergodic hypothesisdense trajectory

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (4)

Arnold diffusion in a priori chaotic symplectic maps ⋮ Arnold diffusion of charged particles in ABC magnetic fields ⋮ A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems ⋮ Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders

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