Improving the false nearest neighbors method with graphical analysis
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We introduce a graphical presentation for the false nearest neighbors (FNN) method. In the original method only the percentage of false neighbors is computed without regard to the distribution of neighboring points in the time-delay coordinates. With this new presentation it is much easier to distinguish deterministic chaos from noise. The graphical approach also serves as a tool to determine better conditions for detecting low dimensional chaos, and to get a better understanding on the applicability of the FNN method.
Cite
@article{arxiv.chao-dyn/9812019,
title = {Improving the false nearest neighbors method with graphical analysis},
author = {T. Aittokallio and M. Gyllenberg and J. Hietarinta and T. Kuusela and T. Multamaki},
journal= {arXiv preprint arXiv:chao-dyn/9812019},
year = {2009}
}
Comments
4 pages, with 5 PostScript figures