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Influence of coupling topology and Lévy noise on dynamics of neural networks

E. Rybalova, A. Bukh
Institute of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov, 410012, Russia

Abstract

The dynamics of ensembles of excitable FitzHugh–Nagumo oscillators is studied. It was shown that a repulsive local coupling can excite spike activity in a network of excitable oscillators without external impact, and the addition of remote coupling expands the range of parameters in which firings are observed. Besides, by introducing anomalous Lévy noise, it is possible to excite oscillations in the system at lower values of the coupling strength between neurons than by utilising normal Gaussian noise.

This work was supported by the Russian Science Foundation (project No. 23-12-00103, https://rscf.ru/project/23-12-00103/ ).

Speaker

Elena Rybalova
Saratov State University
Russia

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