19 March 2015 Quantifying chaotic dynamics from interspike intervals
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Abstract
We address the problem of characterization of chaotic dynamics at the input of a threshold device described by an integrate-and-fire (IF) or a threshold crossing (TC) model from the output sequences of interspike intervals (ISIs). We consider the conditions under which quite short sequences of spiking events provide correct identification of the dynamical regime characterized by the single positive Lyapunov exponent (LE). We discuss features of detecting the second LE for both types of the considered models of events generation.
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A. N. Pavlov, A. N. Pavlov, O. N. Pavlova, O. N. Pavlova, Y. K. Mohammad, Y. K. Mohammad, G. M. Shihalov, G. M. Shihalov, "Quantifying chaotic dynamics from interspike intervals", Proc. SPIE 9448, Saratov Fall Meeting 2014: Optical Technologies in Biophysics and Medicine XVI; Laser Physics and Photonics XVI; and Computational Biophysics, 94481O (19 March 2015); doi: 10.1117/12.2178861; https://doi.org/10.1117/12.2178861
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