Chaos : Its significance and detection in biology

Lloyd, A.L. ORCID: https://orcid.org/0000-0002-5656-0571 and Lloyd, D. ORCID: https://orcid.org/0000-0002-5656-0571 1995. Chaos : Its significance and detection in biology. Biological Rhythm Research 26 (2) , pp. 233-252. 10.1080/09291019509360338

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Abstract

Chaos is a mechanism which can generate random‐looking time series from simple deterministic systems. We outline the idea of deterministic chaos and discuss some biological examples where chaos is believed to play a part. The benefits that biological systems may gain from exhibiting chaotic dynamics are discussed. Establishing whether a system exhibits chaotic dynamics by examining a time series consisting of observations of a single variable is not an easy task. Several sophisticated techniques are examined, including dimensional analysis, estimation of Lyapunov exponents and nonlinear forecasting. There are many difficulties in applying these techniques; often the data requirements are large and noise in the data can give misleading results. We discuss the method of surrogate data, which can help avoid fallacious results

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Biosciences
Publisher:	Taylor & Francis: STM, Behavioural Science and Public Health Titles
ISSN:	0929-1016
Last Modified:	26 Oct 2022 08:37
URI:	https://orca.cardiff.ac.uk/id/eprint/127919

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