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

页码：6047 / 6072

页数：26

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