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

Author

Listed:
  • Alexey N. Pavlov

    (Saratov State Technical University
    Saratov State University)

  • Olga N. Pavlova

    (Saratov State University)

  • Jürgen Kurths

    (Potsdam Institute for Climate Impact Research
    Institute of Physics, Humboldt University Berlin)

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.

Suggested Citation

  • Alexey N. Pavlov & Olga N. Pavlova & Jürgen Kurths, 2017. "Determining the largest Lyapunov exponent of chaotic dynamics from sequences of interspike intervals contaminated by noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(4), pages 1-8, April.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:4:d:10.1140_epjb_e2017-70439-7
    DOI: 10.1140/epjb/e2017-70439-7
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    Cited by:

    1. Lee, Jun Hyuk & Park, Il Seung & Ahn, Jooeun, 2023. "Noise-robust estimation of the maximal Lyapunov exponent based on state space reconstruction with principal components," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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    Keywords

    Statistical and Nonlinear Physics;

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