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Article

Synchronization of a Network Composed of Stochastic Hindmarsh–Rose Neurons

The Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vodarenskou vezi 4, 182 00 Praha 8, Czech Republic
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Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Nikita Frolov
Mathematics 2021, 9(20), 2625; https://doi.org/10.3390/math9202625
Received: 31 August 2021 / Revised: 24 September 2021 / Accepted: 1 October 2021 / Published: 18 October 2021
(This article belongs to the Special Issue Structure and Dynamics of Complex Networks)
An algorithm for synchronization of a network composed of interconnected Hindmarsh–Rose neurons is presented. Delays are present in the interconnections of the neurons. Noise is added to the controlled input of the neurons. The synchronization algorithm is designed using convex optimization and is formulated by means of linear matrix inequalities via the stochastic version of the Razumikhin functional. The recovery and the adaptation variables are also synchronized; this is demonstrated with the help of the minimum-phase property of the Hindmarsh–Rose neuron. The results are illustrated by an example. View Full-Text
Keywords: Hindmarsh–Rose neuron; multi-agent systems; stochastic retarded system Hindmarsh–Rose neuron; multi-agent systems; stochastic retarded system
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MDPI and ACS Style

Rehák, B.; Lynnyk, V. Synchronization of a Network Composed of Stochastic Hindmarsh–Rose Neurons. Mathematics 2021, 9, 2625. https://doi.org/10.3390/math9202625

AMA Style

Rehák B, Lynnyk V. Synchronization of a Network Composed of Stochastic Hindmarsh–Rose Neurons. Mathematics. 2021; 9(20):2625. https://doi.org/10.3390/math9202625

Chicago/Turabian Style

Rehák, Branislav, and Volodymyr Lynnyk. 2021. "Synchronization of a Network Composed of Stochastic Hindmarsh–Rose Neurons" Mathematics 9, no. 20: 2625. https://doi.org/10.3390/math9202625

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