Finding invariant tori with Poincare's map

Hsuan-Wen Su

doi:10.3934/cpaa.2008.7.433

Article Contents

2008, Volume 7, Issue 2: 433-443. Doi: 10.3934/cpaa.2008.7.433

This issue Previous Article Estimates for the life-span of the solutions for some semilinear wave equations Next Article Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in $\mathbb{R} ^2$

Finding invariant tori with Poincare's map

Hsuan-Wen Su^1,

1.
Department of Mathematics, National Changhua University of Education, 1, Jin-De Rd, Changhua, 50007

Received: September 30, 2006

Revised: January 31, 2007

Published: February 2008

Abstract Related Papers Cited by

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.

Keywords:

semiflow,
Poincare's map,
weak quasi-periodic family of solutions,
Besicovitch almost periodic solutions.

Mathematics Subject Classification: Primary: 37B55; Secondary: 34C27.

Citation:

Article Metrics

HTML views() PDF downloads(104) Cited by(0)

Finding invariant tori with Poincare's map

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Finding invariant tori with Poincare's map

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content