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

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

1996-02-02

arxiv.org/abs/chao-dyn/9602001v1

Physica A 236 (1997) 363-375

Nonlinear Sciences

Chaotic Dynamics

13 Postscript pages, 12 Postscript figures (figures 3b and 4 by request from Y. Ashkenazy: ashkenaz@alon.cc.biu.ac.il)

Scientific paper

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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