The necessity for a time local dimension in systems with time-varying attractors

K. Saermark; Y. Ashkenazy; J. Levitan; M. Lewkowicz

doi:10.1016/S0378-4371(96)00367-6

The necessity for a time local dimension in systems with time-varying attractors

K. Saermark
, Y. Ashkenazy
, J. Levitan
, M. Lewkowicz

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We show that a simple non-linear system for 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.

Original language	English
Pages (from-to)	363-375
Number of pages	13
Journal	Physica A: Statistical Mechanics and its Applications
Volume	236
Issue number	3-4
DOIs	https://doi.org/10.1016/S0378-4371(96)00367-6
State	Published - 1 Mar 1997
Externally published	Yes

Bibliographical note

Funding Information:
The authors are grateful to the Danish Natural Science Research Council for financial support. One of us (Y.A.) wishes to acknowledge support by the Danish-Israel Study Fund in Memory of Josef & Regine Nachemsohn.

Funding

The authors are grateful to the Danish Natural Science Research Council for financial support. One of us (Y.A.) wishes to acknowledge support by the Danish-Israel Study Fund in Memory of Josef & Regine Nachemsohn.

Funders
Danish-Israel Study Fund
Natur og Univers, Det Frie Forskningsråd

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10.1016/S0378-4371(96)00367-6

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abstract = "We show that a simple non-linear system for 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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AU - Lewkowicz, M.

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The necessity for a time local dimension in systems with time-varying attractors

Abstract

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