Synchronization of electrically and chemically coupled ızhikevich neuron model via backstepping control method

Yıl 2023, , 1581 - 1587, 15.10.2023

Zühra Karaca , Nimet Korkmaz , Recai Kılıç

https://doi.org/10.28948/ngumuh.1340148

Öz

This study addresses the synchronization of two Izhikevich neuron models, coupled electrically and chemically, using the backstepping control method. While there are numerous studies in the literature regarding the electrical coupling of Izhikevich neuron models, research on synchronization of structures created through chemical coupling is limited. This study is the first to tackle the synchronization of a bidirectionally chemically coupled Izhikevich neuron model using the backstepping control method. The system subjected to the backstepping control method was observed to trigger synchronization independently of the coupling weight. This observation is confirmed through both standard deviation analysis and simulation results.

Anahtar Kelimeler

Izhikevich neuron model, Synchronization, Backstepping control method, Chemically coupling.

Elektriksel ve kimyasal kuplajlı ızhikevich nöron modelinin geri adımlamalı kontrol yöntemi ile senkronizasyonu

Öz

Bu çalışmada, elektriksel ve kimyasal kuplajlı iki Izhikevich nöron modelinin geri adımlamalı kontrol yöntemi kullanılarak senkronizasyonu ele alınmıştır. Literatürde elektriksel olarak kuplajlanan Izhikevich nöron modeliyle yapılan çalışma sayısı fazlayken, kimyasal kuplaj ile oluşturulan yapıya ait çalışmalar sınırlıdır ve çift yönlü kimyasal olarak kuplajlanan Izhikevich nöron modelinin geri adımlamalı kontrol yöntemi kullanılarak senkronizasyonu ilk defa bu çalışmada ele alınmıştır. Geri adımlamalı kontrol yönteminin uygulandığı sistemin, kuplajlama ağırlığından bağımsız bir şekilde eş zamanlı olarak ateşlendiği, hem standart sapma analizi ile hem de simülasyon sonuçları gösterilmiştir.

Anahtar Kelimeler

Izhikevich nöron modeli, Senkronizasyon, Geri adımlamalı kontrol yöntemi, Kimyasal kuplaj.

Kaynakça

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