Quantifying chaotic oscillations from noisy interspike intervals with Lyapunov exponents

Alexey N. Pavlov; Olga N. Pavlova; Pavel A. Arinushkin

doi:10.1117/12.2267690

14 April 2017 Quantifying chaotic oscillations from noisy interspike intervals with Lyapunov exponents

Alexey N. Pavlov, Olga N. Pavlova, Pavel A. Arinushkin

Proceedings Volume 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III; 1033710 (2017) https://doi.org/10.1117/12.2267690
Event: Saratov Fall Meeting 2016: Fourth International Symposium on Optics and Biophotonics, 2016, Saratov, Russian Federation

Abstract

In this paper we consider the problem of characterizing chaotic dynamics from noisy sequences of return times. We discuss features of computing the largest Lyapunov exponent and restrictions of the reliable estimation of the second exponent. We illustrate the ability of characterizing dynamics of small networks of chaotic oscillators for the case of under-threshold input signals.

Citation Download Citation

Alexey N. Pavlov, Olga N. Pavlova, and Pavel A. Arinushkin "Quantifying chaotic oscillations from noisy interspike intervals with Lyapunov exponents", Proc. SPIE 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III, 1033710 (14 April 2017); https://doi.org/10.1117/12.2267690

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