Anatomy of a chaotic attractor

Subtle model-predicted patterns revealed in population data

Aaron A. King, Robert F Costantino, Jim M Cushing, Shandelle M. Henson, Robert A. Desharnais, Brian Dennis

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Mathematically, chaotic dynamics are not devoid of order but display episodes of near-cyclic temporal patterns. This is illustrated, in interesting ways, in the case of chaotic biological populations. Despite the individual nature of organisms and the noisy nature of biological time series, subtle temporal patterns have been detected. By using data drawn from chaotic insect populations, we show quantitatively that chaos manifests itself as a tapestry of identifiable and predictable patterns woven together by stochasticity. We show too that the mixture of patterns an experimentalist can expect to see depends on the scale of the system under study.

Original languageEnglish (US)
Pages (from-to)408-413
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume101
Issue number1
DOIs
StatePublished - Jan 2004

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Anatomy
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Insects

ASJC Scopus subject areas

  • Genetics
  • General

Cite this

Anatomy of a chaotic attractor : Subtle model-predicted patterns revealed in population data. / King, Aaron A.; Costantino, Robert F; Cushing, Jim M; Henson, Shandelle M.; Desharnais, Robert A.; Dennis, Brian.

In: Proceedings of the National Academy of Sciences of the United States of America, Vol. 101, No. 1, 01.2004, p. 408-413.

Research output: Contribution to journalArticle

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