The steep Nekhoroshev's Theorem and optimal stability exponents (an announcement)

被引：7

作者：

Guzzo, Massimiliano ^{[1
]}

Chierchia, Luigi ^{[2
]}

Benettin, Giancarlo ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

[2] Univ Roma Tre, Dipartimento Matemat & Fis, I-00146 Rome, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2014年 / 25卷 / 03期

关键词：

Hamiltonian systems; Nekhoroshev's Theorem; steepness; INTEGRABLE HAMILTONIAN-SYSTEMS;

D O I：

10.4171/RLM/679

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new statement of Nekhoroshev's Theorem in the general steep case with stability exponents, conjectured to be optimal, is presented. Si presenta un nuovo enunciato del teorema di Nekhoroshev nel caso ripido ("steep'') generico, con migliori esponenti di stabilita, che si congetturano essere ottimali.

引用

页码：293 / 299

页数：7

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