Document Type
Article
Publication Date
1-1-2004
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.
Journal Title
Proceedings of the National Academy of Sciences of the United States of America
Volume
101
Issue
1
First Page
408
Last Page
413
DOI
https://doi.org/10.1073/pnas.2237266100
First Department
Mathematics
Recommended Citation
King, Aaron A.; Costantino, R. F.; Cushing, J. M.; Henson, Shandelle M.; Desharnais, Robert A.; and Dennis, Brian, "Anatomy of a Chaotic Attractor: Subtle Model-predicted Patterns Revealed in Population Data" (2004). Faculty Publications. 2223.
https://digitalcommons.andrews.edu/pubs/2223
Acknowledgements
Open access article retrieved April 8, 2021 from https://www.pnas.org/content/pnas/101/1/408.full.pdf