Abstract
We investigate the reconstruction of embedded time-series from chaotic dynamical systems using wavelets. The standard wavelet transforms are not applicable because of the embedding, and we use a basis pursuit method which on its own does not perform very well. When this is combined with a continuous optimizer, however, we obtain very good models. We discuss the success of this method and apply it to some data from a vibrating string experiment.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2191-2201 |
| Number of pages | 11 |
| Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 8 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 1998 |
| Externally published | Yes |
ASJC Scopus subject areas
- Modeling and Simulation
- Engineering (miscellaneous)
- General
- Applied Mathematics