Finding invariant tori with Poincare's map

Research output: Contribution to journalArticle

Abstract

We consider the existence problem of invariant tori for quasi-periodic equation. We regard quasi-periodic functions with n frequencies as periodic functions of functions with n - 1 frequencies, which constitute a function space. Then we define Poincare's return map of a given semiflow on the space whose fixed point corresponds to an invariant torus of the semiflow.

Original languageEnglish
Pages (from-to)433-443
Number of pages11
JournalCommunications on Pure and Applied Analysis
Volume7
Issue number2
Publication statusPublished - 2008 Mar 1

Fingerprint

Semiflow
Invariant Tori
Poincaré Map
Periodic Functions
Return Map
Function Space
Fixed point

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

@article{f42eab4ee57a46b9ae867b609b4e24ed,
title = "Finding invariant tori with Poincare's map",
abstract = "We consider the existence problem of invariant tori for quasi-periodic equation. We regard quasi-periodic functions with n frequencies as periodic functions of functions with n - 1 frequencies, which constitute a function space. Then we define Poincare's return map of a given semiflow on the space whose fixed point corresponds to an invariant torus of the semiflow.",
author = "Su, {Hsuan Wen}",
year = "2008",
month = "3",
day = "1",
language = "English",
volume = "7",
pages = "433--443",
journal = "Communications on Pure and Applied Analysis",
issn = "1534-0392",
publisher = "American Institute of Mathematical Sciences",
number = "2",

}

Finding invariant tori with Poincare's map. / Su, Hsuan Wen.

In: Communications on Pure and Applied Analysis, Vol. 7, No. 2, 01.03.2008, p. 433-443.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Finding invariant tori with Poincare's map

AU - Su, Hsuan Wen

PY - 2008/3/1

Y1 - 2008/3/1

N2 - We consider the existence problem of invariant tori for quasi-periodic equation. We regard quasi-periodic functions with n frequencies as periodic functions of functions with n - 1 frequencies, which constitute a function space. Then we define Poincare's return map of a given semiflow on the space whose fixed point corresponds to an invariant torus of the semiflow.

AB - We consider the existence problem of invariant tori for quasi-periodic equation. We regard quasi-periodic functions with n frequencies as periodic functions of functions with n - 1 frequencies, which constitute a function space. Then we define Poincare's return map of a given semiflow on the space whose fixed point corresponds to an invariant torus of the semiflow.

UR - http://www.scopus.com/inward/record.url?scp=42149085558&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42149085558&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:42149085558

VL - 7

SP - 433

EP - 443

JO - Communications on Pure and Applied Analysis

JF - Communications on Pure and Applied Analysis

SN - 1534-0392

IS - 2

ER -