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Cited by 328

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Information and entropy in strange attractors

Fraser, A.M.·1989·IEEE Transactions on Information Theory

Abstract

A technique for analyzing time-series data from experiments is presented that provides estimates of four basic characteristics of a system: (1) the measure-theoretic entropy; (2) the accuracy of the measurements; (3) the number of measurements necessary to specify a system state; and (4) the best delay time T to use in order to construct phase space portraits by the method of delays. These characteristics are obtained by separating the entropy of measurements into a part due to noise and parts due to deterministic effects. For the technique to work, the noise associated with each measurement must be independent of the noise associated with all other measurements. An algorithm for implementing the analysis is presented with three examples.>

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Metadata

Authors
Fraser, A. M.
Venue
IEEE Transactions on Information Theory
Published
1989-03
Volume
35
Issue
2
Pages
245-262
ISSN
0018-9448 (ISSN-L)
OpenAlex
W1971046812
Cited by
328
References
1
FWCI
9.50
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Information and entropy in strange attractors. https://app.cochat.ai/papers/10.1109/18.32121
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Fraser, A. M. (1989). Information and entropy in strange attractors. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.32121

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