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Published 2000 | Version public
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Investigating Torus Bifurcations in the Forced Van Der Pol Oscillator

Creators

  • 1. ROR icon VU Amsterdam
  • 2. ROR icon California Institute of Technology

Contributors

Abstract

We demonstrate a new algorithm for computing one-dimensional stable and unstable manifolds of (Poincaré) maps that we have implemented in DsTool [1]. As an example we investigate the most complicated sequence of bifurcations in the forced Van der Pol oscillator as the amplitude of the forcing is increased. This bifurcation sequence has recently been used to test algorithms for the computation of invariant tori.

Additional Information

© 2000 Springer Science+Business Media New York. We thank J. Guckenheimer, J. Lorenz and V. Reichelt for helpful discussions. B.K. thanks the Institute for Mathematics and its Applications for its hospitality and for financial support.

Additional details

Identifiers

Eprint ID
100242
Resolver ID
CaltechAUTHORS:20191209-131509521

Funding

Institute for Mathematics and its Applications

Dates

Created
2019-12-09
Created from EPrint's datestamp field
Updated
2021-11-16
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Caltech Custom Metadata

Series Name
IMA Volumes in Mathematics and its Applications
Series Volume or Issue Number
119