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The Necessity for a Time Local Dimension in Systems with Time Varying Attractors

K. Saermark·Y. Ashkenazy·J. Levitan·M. Lewkowicz
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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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K. Saermark, Y. Ashkenazy, J. Levitan, M. Lewkowicz. 1996-02-02. The Necessity for a Time Local Dimension in Systems with Time Varying Attractors. https://doi.org/10.1016/s0378-4371(96)00367-6

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