Local control of an array of the diffusively coupled FitzHugh–Nagumo oscillators via repulsive mean field

A feedback method for stabilizing the steady states in an array of the coupled nonlinear oscillators is described. The method employs two complementary techniques: the pinning control accomplished via a single accidentally accessed (or randomly chosen) oscillator and the repulsive mean field. Analyt...

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Bibliographic Details
Published in:Journal of applied physics 2020-08, Vol.128 (7)
Main Authors: Adomaitienė Elena, Steponas, Ašmontas, Skaidra, Bumelienė, Arūnas, Tamaševičius
Format: Article
Language:English
Subjects:
Analog circuits
Applied physics
Arrays
Circuits
Oscillators
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Summary:A feedback method for stabilizing the steady states in an array of the coupled nonlinear oscillators is described. The method employs two complementary techniques: the pinning control accomplished via a single accidentally accessed (or randomly chosen) oscillator and the repulsive mean field. Analytical, numerical, and experimental results are presented for a chain of the diffusively coupled FitzHugh–Nagumo (FHN) type oscillators with an exponential activation function. The experiment has been performed using analog electrical circuit, imitating dynamical behavior of the spiking FHN oscillators.
ISSN:0021-8979
1089-7550
DOI:10.1063/5.0018645