The Necessity for a Time Local Dimension in Systems with Time Varying Attractors
arXiv:chao-dyn/9602001 · doi:10.1016/S0378-4371(96)00367-6
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.
13 Postscript pages, 12 Postscript figures (figures 3b and 4 by request from Y. Ashkenazy: ashkenaz@alon.cc.biu.ac.il)