\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2005, Volume 13, Issue 4: 901-920. Doi: 10.3934/dcds.2005.13.901
This issue Previous Article Instability of travelling wave profiles for the Lax-Friedrichs scheme Next Article Comparison of quarter-plane and two-point boundary value problems: the BBM-equation

Topological method for rigorously computing periodic orbits using Fourier modes

  • 1.

    Institute for Mathematics, University of Paderborn, D-33095 Paderborn

Received:  November 30, 2004
Revised:  June 30, 2005
Published:  June 2005
Abstract Related Papers Cited by
    Abstract
  • We present a technique for the rigorous computation of periodic orbits in certain ordinary differential equations. The method combines set oriented numerical techniques for the computation of invariant sets in dynamical systems with topological index arguments. It not only allows for the proof of existence of periodic orbits but also for a precise (and rigorous) approximation of these. As an example we compute a periodic orbit for a differential equation introduced in [2].
    Mathematics Subject Classification: Primary: 34L30, 37B30, 37M99; Secondary: 37C25, 65P99.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(84) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2022 American Institute of Mathematical Sciences