Combining the ApEn statistic with surrogate data analysis for the detection of nonlinear dynamics in time series

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dc.creatorLaViolette, Randall A.
dc.creatorTolle, Charles R.
dc.creatorMcJunkin, Timothy R.
dc.creatorStoner, Daphne L.
dc.date2004-02-05
dc.date.accessioned2026-07-07T05:35:19Z
dc.date.available2026-07-07T05:35:19Z
dc.descriptionWe tested the natural combination of surrogate data analysis with the ApEn regularity statistic developed by Pincus [Proc. Natl. Acad. Sci. USA 88 (1991) 2297] by applying it to some popular models of nonlinear dynamics and publicly available experimental time series. We found that this easily implemented combination provided a useful method for discriminating signals governed by nonlinear dynamics from those governed by linear dynamics and noise. An apparently novel physical interpretation of ApEn also is supplied.
dc.description27 pages, 5 figures, 44 references
dc.identifierhttps://arxiv.org/abs/nlin/0402007
dc.identifierhttp://arxiv.org/abs/nlin/0402007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80659
dc.subjectChaotic Dynamics
dc.titleCombining the ApEn statistic with surrogate data analysis for the detection of nonlinear dynamics in time series
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