SUPEREXPONENTIAL STABILITY OF KAM TORI

被引：124

作者：

MORBIDELLI, A

GIORGILLI, A

机构：

[1] UNIV MILAN,DIPARTIMENTO MATEMAT,I-20133 MILAN,ITALY

[2] CNR,GRP NAZL FIS MATEMAT,I-20133 MILAN,ITALY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1995年 / 78卷 / 5-6期

关键词：

CLASSICAL PERTURBATION THEORY; HAMILTONIAN DYNAMICAL SYSTEMS; KAM THEORY; EXPONENTIAL STABILITY; ARNOLD STABILITY;

D O I：

10.1007/BF02180145

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the dynamics in the neighborhood of an invariant torus of a nearly integrable system. We provide an upper bound to the diffusion speed, which turns out to be of superexponentially small size exp[-exp(1/rho)], rho being the distance from the invariant torus. We also discuss the connection of this result with the existence of many invariant tori close to the considered one.

引用

页码：1607 / 1617

页数：11

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