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Chaos in Biological Systems pp 133–142Cite as

Quantification of Chaos from Periodically Forced Squid Axons

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Part of the book series: NATO ASI Series ((NSSA,volume 138))

Abstract

We analyse time series collected by measuring the membrane potential of a squid giant axon subject to sinusoidal forcing. 1/1 phase-locked oscillations, quasiperiodic oscillations and chaos are observed. Phase space portraits are reconstructed using the method of delays and singular systems analysis, allowing Lyapunov exponents and entropies to be calculated. Comparisons with numerically integrated Hodgkin-Huxley equations show good correspondence with experiment.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematical Studies The School of Mathematics and the Centre for Nonlinear Studies, The University of Leeds, Leeds, LS2 9JT, UK

    R. M. Everson

Authors
  1. R. M. Everson
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Editor information

Editors and Affiliations

  1. Odense University, Odense, Denmark

    H. Degn  & L. F. Olsen  & 

  2. The University of Leeds, Leeds, UK

    A. V. Holden

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© 1987 Springer Science+Business Media New York

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Everson, R.M. (1987). Quantification of Chaos from Periodically Forced Squid Axons. In: Degn, H., Holden, A.V., Olsen, L.F. (eds) Chaos in Biological Systems. NATO ASI Series, vol 138. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9631-5_16

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  • DOI: https://doi.org/10.1007/978-1-4757-9631-5_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9633-9

  • Online ISBN: 978-1-4757-9631-5

  • eBook Packages: Springer Book Archive

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