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

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability

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10.1016/S0378-4371(96)00367-6

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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.",

author = "K. Saermark and Y. Ashkenazy and J. Levitan and M. Lewkowicz",

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.",

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AU - Saermark, K.

AU - Ashkenazy, Y.

AU - Levitan, J.

AU - Lewkowicz, M.

N1 - 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.

PY - 1997/3/1

Y1 - 1997/3/1

N2 - 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.

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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JO - Physica A: Statistical Mechanics and its Applications

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ER -

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

Abstract

ASJC Scopus subject areas

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