A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results

被引：23

作者：

Delshams, A

De la Llave, R

Seara, TM

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain

[2] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 9卷

关键词：

nearly integrable Hamiltonian systems; normal forms; slow variables; normally hyperbolic invariant manifolds; KAM theory; Arnold diffusion;

D O I：

10.1090/S1079-6762-03-00121-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a geometric mechanism for diffusion in Hamiltonian systems. We also present tools that allow us to verify it in a concrete model. In particular, we verify it in a system which presents the large gap problem.

引用

页码：125 / 134

页数：10

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