ARNOLD DIFFUSION FOR A COMPLETE FAMILY OF PERTURBATIONS WITH TWO INDEPENDENT HARMONICS

被引：6
作者：
Delshams, Amadeu [1 ]
Schaefer, Rodrigo G.
机构：
[1] Univ Politecn Cataluna, Dept Matemat, Ave Doctor Maranon 44-50, E-08028 Barcelona, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 12期
基金：
俄罗斯科学基金会;
关键词：
Arnold diffusion; normally hyperbolic invariant manifolds; scattering maps; SCATTERING MAP; HAMILTONIAN-SYSTEMS; MECHANISM; ORBITS;
D O I：
10.3934/dcds.2018261
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided.
引用
收藏
页码：6047 / 6072
页数：26
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