Advanced Search
Article Contents
Article Contents

Topological method for rigorously computing periodic orbits using Fourier modes

Abstract Related Papers Cited by
  • 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.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

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

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint