The Necessity for a Time Local Dimension in Systems with Time Varying Attractors
K. Saermark, Y. Ashkenazy, J. Levitan, M. Lewkowicz
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.
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