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

Knud H Særmark; 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

Knud H Særmark, Y Ashkenazy, J Levitan, M Lewkowicz

Department of Physics

Research output: Contribution to journal › Journal article › Research › peer-review

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
Journal	Physica A: Statistical Mechanics and its Applications
Volume	236
Issue number	3-4
Pages (from-to)	363-375
ISSN	0378-4371
DOIs	https://doi.org/10.1016/S0378-4371(96)00367-6
Publication status	Published - 1997

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title = "The necessity for a time local dimension in systems with time-varying attractors",

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 - Særmark, Knud H

AU - Ashkenazy, Y

AU - Levitan, J

AU - Lewkowicz, M

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AB - 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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DO - 10.1016/S0378-4371(96)00367-6

M3 - Journal article

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VL - 236

SP - 363

EP - 375

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 3-4

ER -

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

Abstract

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