Published 2000
| public
Book Section - Chapter
Investigating Torus Bifurcations in the Forced Van Der Pol Oscillator
- Creators
- Krauskopf, Bernd
- Osinga, Hinke M.
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
- Eprint ID
- 100242
- Resolver ID
- CaltechAUTHORS:20191209-131509521
- Institute for Mathematics and its Applications
- Created
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2019-12-09Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Series Name
- IMA Volumes in Mathematics and its Applications
- Series Volume or Issue Number
- 119