Chimeras and solitary states in a ring of FitzHugh-Nagumo oscillators under noise influence
A. Ryabchenko, E. Rybalova, G. Strelkova; Saratov State University, Saratov, Russia
Abstract
The purpose of this work is to study numerically the influence of additive white Gaussian noise on the dynamics of a network of nonlocally coupled neuron models which are represented by FitzHugh-Nagumo oscillators. This network can demonstrate chimera states, solitary states and combined structures. We show that additive noise can decrease the probability of settling regimes of solitary states and combined structures, while the probability of observing chimera states arises up to 100%. Moreover, in a region of existing of solitary states only, increasing the noise intensity leads to a decrease of the mean number of solitary nodes and the interval of coupling parameter values within which the solitary states are observed.
This work was supported by the Russian Science Foundation (project No. 20-12-00119,
https://rscf.ru/project/23-12-45017/).
Speaker
A. Ryabchenko
Saratov State University, Saratov, Russia.
Russia
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