Detection of Arnold diffusion in Hamiltonian systems

被引：61
|
作者：
Lega, E
Guzzo, M
Froeschlé, C
机构：
[1] Observ Nice, F-06304 Nice 4, France
[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2003年 / 182卷 / 3-4期
关键词：
Arnold diffusion; Hamiltonian systems; Nekhoroshev theorem;
D O I：
10.1016/S0167-2789(03)00121-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：179 / 187
页数：9
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