Detection of Arnold diffusion in Hamiltonian systems

We detect diffusion along resonances in a quasi-integrable system at small values of the perturbing parameter. The diffusion coefficient goes to zero, as the perturbation parameter goes to zero, faster than a power law, typical of Chirikov diffusion, and is compatible with an exponential law expecte...

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Bibliographic Details
Published inPhysica. D Vol. 182; no. 3; pp. 179 - 187
Main Authors Lega, Elena, Guzzo, Massimiliano, Froeschlé, Claude
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.08.2003
Elsevier
Subjects
Arnold diffusion
Hamiltonian systems
Mathematical Physics
Nekhoroshev theorem
Physics
Sciences of the Universe
Hamiltonian systems
Nekhoroshev theorem
Arnold diffusion
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Summary:We detect diffusion along resonances in a quasi-integrable system at small values of the perturbing parameter. The diffusion coefficient goes to zero, as the perturbation parameter goes to zero, faster than a power law, typical of Chirikov diffusion, and is compatible with an exponential law expected in the Nekhoroshev theorem.
ISSN:0167-2789
1872-8022
DOI:10.1016/S0167-2789(03)00121-0