Characterizing chaotic dynamics from integrate-and-fire interspike intervals at the presence of noise

Yasir K. Mohammad; Olga N. Pavlova; Alexey N. Pavlov

doi:10.1117/12.2225453

21 April 2016 Characterizing chaotic dynamics from integrate-and-fire interspike intervals at the presence of noise

Yasir K. Mohammad, Olga N. Pavlova, Alexey N. Pavlov

Proceedings Volume 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS); 99173L (2016) https://doi.org/10.1117/12.2225453
Event: Saratov Fall Meeting 2015, 2015, Saratov, Russian Federation

Abstract

We discuss the problem of quantifying chaotic dynamics at the input of the “integrate-and-fire” (IF) model from the output sequences of interspike intervals (ISIs) for the case when the fluctuating threshold level leads to the appearance of noise in ISI series. We propose a way to detect an ability of computing dynamical characteristics of the input dynamics and the level of noise in the output point processes. The proposed approach is based on the dependence of the largest Lyapunov exponent from the maximal orientation error used at the estimation of the averaged rate of divergence of nearby phase trajectories.

Citation Download Citation

Yasir K. Mohammad, Olga N. Pavlova, and Alexey N. Pavlov "Characterizing chaotic dynamics from integrate-and-fire interspike intervals at the presence of noise", Proc. SPIE 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS), 99173L (21 April 2016); https://doi.org/10.1117/12.2225453

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