Wavelet reconstruction of nonlinear dynamics

David Allingham, Matthew West, Alistair I. Mees

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)2191-2201
Number of pages11
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume8
Issue number11
DOIs
StatePublished - Nov 1998
Externally publishedYes

ASJC Scopus subject areas

  • Modeling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Cite this