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Determining the largest Lyapunov exponent of chaotic dynamics from sequences of interspike intervals contaminated by noise |
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| Authors: | Alexey N Pavlov Olga N Pavlova Jürgen Kurths |
| Institution: | 1.Department of Electrical Engineering and Electronics,Saratov State Technical University,Saratov,Russia;2.Department of Physics,Saratov State University,Saratov,Russia;3.Potsdam Institute for Climate Impact Research,Potsdam,Germany;4.Institute of Physics, Humboldt University Berlin,Berlin,Germany |
| 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. |
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