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Quantification of Chaos from Periodically Forced Squid Axons

  • R. M. Everson
Part of the NATO ASI Series book 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.

Keywords

Lyapunov Exponent Singular Value Decomposition Phase Portrait Large Lyapunov Exponent Action Potential Amplitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • R. M. Everson
    • 1
  1. 1.Department of Applied Mathematical Studies The School of Mathematics and the Centre for Nonlinear StudiesThe University of LeedsLeedsUK

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