Determining the largest Lyapunov exponent of chaotic dynamics from sequences of interspike intervals contaminated by noise

We discuss abilities of quantifying low-dimensional chaotic oscillations at the input of two threshold models from the output sequences of interspike intervals in the presence of noise. We propose a modification of the standard approach for computing the largest Lyapunov exponent from a time series...

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Veröffentlicht in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2017-04, Vol.90 (4), p.1-8, Article 61
Hauptverfasser: Pavlov, Alexey N., Pavlova, Olga N., Kurths, Jürgen
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Sprache:eng
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Zusammenfassung:We discuss abilities of quantifying low-dimensional chaotic oscillations at the input of two threshold models from the output sequences of interspike intervals in the presence of noise. We propose a modification of the standard approach for computing the largest Lyapunov exponent from a time series that verifies the performed estimations for noisy data. We consider features of its application to different types of point processes.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2017-70439-7