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

Research output: Contribution to journalJournal article – Annual report year: 1997Researchpeer-review

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The necessity for a time local dimension in systems with time-varying attractors. / Særmark, Knud H; Ashkenazy, Y; Levitan, J; Lewkowicz, M.

In: Physica A: Statistical Mechanics and its Applications, Vol. 236, No. 3-4, 1997, p. 363-375.

Research output: Contribution to journalJournal article – Annual report year: 1997Researchpeer-review

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@article{3a5c7ad1f2cf4999b2486dc0e1aa5075,
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 = "S{\ae}rmark, {Knud H} and Y Ashkenazy and J Levitan and M Lewkowicz",
year = "1997",
doi = "10.1016/S0378-4371(96)00367-6",
language = "English",
volume = "236",
pages = "363--375",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier BV * North-Holland",
number = "3-4",

}

RIS

TY - JOUR

T1 - The necessity for a time local dimension in systems with time-varying attractors

AU - Særmark, Knud H

AU - Ashkenazy, Y

AU - Levitan, J

AU - Lewkowicz, M

PY - 1997

Y1 - 1997

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.

U2 - 10.1016/S0378-4371(96)00367-6

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

M3 - Journal article

VL - 236

SP - 363

EP - 375

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3-4

ER -