Quantification of Chaos from Periodically Forced Squid Axons
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.
KeywordsLyapunov Exponent Singular Value Decomposition Phase Portrait Large Lyapunov Exponent Action Potential Amplitude
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