English

Smoothing Strange Attractors Using Splines

chao-dyn 2008-02-03 v1 Chaotic Dynamics

Abstract

A noise-reduction algorithm for time-series of non-linear systems is presented. The algorithm smoothes the attractors in phase space using B-splines, allowing a more accurate measure of their dynamics. The algorithm is tested on numerical and experimental data. It is linear in complexity, and can be applied to embeddings of any dimension.

Keywords

Cite

@article{arxiv.chao-dyn/9512009,
  title  = {Smoothing Strange Attractors Using Splines},
  author = {Junheng Luo and Dominique Thiebaut},
  journal= {arXiv preprint arXiv:chao-dyn/9512009},
  year   = {2008}
}

Comments

18 pages. 5 figures. Additional software available from http://cs.smith.edu/~thiebaut/research/research.html