The Necessity for a Time Local Dimension in Systems with Time Varying Attractors
chao-dyn
2015-06-24 v1 Chaotic Dynamics
Abstract
We show that a simple non-linear system of ordinary differential equations may possess a time varying attractor dimension. This indicates that it is infeasible to characterize EEG and MEG time series with a single time global dimension. We suggest another measure for the description of non-stationary attractors.
Keywords
Cite
@article{arxiv.chao-dyn/9602001,
title = {The Necessity for a Time Local Dimension in Systems with Time Varying Attractors},
author = {K. Saermark and Y. Ashkenazy and J. Levitan and M. Lewkowicz},
journal= {arXiv preprint arXiv:chao-dyn/9602001},
year = {2015}
}
Comments
13 Postscript pages, 12 Postscript figures (figures 3b and 4 by request from Y. Ashkenazy: [email protected])