Details

Autor(en) / Beteiligte

• Rehák, Branislav
• Lynnyk, Volodymyr

Titel

Synchronization of a Network Composed of Stochastic Hindmarsh–Rose Neurons

Ist Teil von

• Mathematics (Basel), 2021-10, Vol.9 (20), p.2625

Ort / Verlag

Basel: MDPI AG

Erscheinungsjahr

2021

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• 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.