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

Alexey N. Pavlov (), Olga N. Pavlova and Jürgen Kurths
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Alexey N. Pavlov: Saratov State Technical University
Olga N. Pavlova: Saratov State University
Jürgen Kurths: Potsdam Institute for Climate Impact Research

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 4, 1-8

Abstract: Abstract 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2017-70439-7

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