Noise-induced extreme events in the ring of FitzHugh–Nagumo neurons
Andrei Bukh1, Nataliya Nikishina1; 1Saratov State University, Russia
Abstract
The study of conditions for the occurrence of extreme events in dynamic systems allows us to control their behavior by changing the parameters of the noise source. By the extreme pulse amplitude we mean a value that differs from the average value of the pulse amplitude, the frequency of which significantly exceeds the probability corresponding to the normal one. In this paper, a Poisson process specified by the amplitude and average frequency of pulses is considered as a noise source. The possibility of inducing extreme events by an external random process with different coupling strengths in the ring of FitzHugh–Nagumo neurons is investigated. It is worth to note that extreme pulse amplitudes are detected in an individual FitzHugh–Nagumo neuron at certain parameters of the Poisson process, but the introduction of a coupling between neurons leads to a decrease in the range of Poisson process parameter values at which extreme pulse amplitudes occur. In addition, the influence of the excitation parameter values and the time scale of an individual FitzHugh–Nagumo neuron on the occurrence of extreme events is studied. An increase in both parameters leads to a decrease in the range of Poisson process parameter values at which extreme pulse amplitudes occur.
The study was supported by the Russian Science Foundation grant No. 23-72-10040,
https://rscf.ru/project/23-72-10040/.
Speaker
Andrei Bukh
Saratov State University
Russia
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