Attracting invariant tori and analytic conjugacies

被引：0

作者：

Koch, Hans ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 398卷

关键词：

Flows; Hyperbolic invariant tori; Analytic conjugacy; KAM; RENORMALIZATION; LINEARIZATION; MANIFOLDS;

D O I：

10.1016/j.jde.2024.04.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of conjugating a flow on R-d x R to an "integrable" flow (q) over dot = omega and (p) over dot = cp , if possible, with c not equal 0. Our emphasis is on a constructive approach, using a KAM type iteration and analyticity. An application to the periodically forced Van der Pol oscillator is given. (c) 2024 Elsevier Inc. All rights reserved.

引用

页码：395 / 415

页数：21

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