https://doi.org/10.1140/epjb/e2017-70439-7
Regular Article
Determining the largest Lyapunov exponent of chaotic dynamics from sequences of interspike intervals contaminated by noise
1 Department of Electrical Engineering and Electronics, Saratov State Technical University, Politechnicheskaya Str. 77, 410054 Saratov, Russia
2 Department of Physics, Saratov State University, Astrakhanskaya Str. 83, 410012 Saratov, Russia
3 Potsdam Institute for Climate Impact Research, Telegraphenberg A 31, 14473 Potsdam, Germany
4 Institute of Physics, Humboldt University Berlin, 12489 Berlin, Germany
a
e-mail: pavlov.alexeyn@gmail.com
Received: 17 July 2016
Received in final form: 23 October 2016
Published online: 3 April 2017
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2017
