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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2021 / Sayı: 32

Synchronization of the Chemically Coupled Izhikevich Neuron Model with the Lyapunov Control Method

Kimyasal Kuplajlı Izhikevich Nöron Modelinin Lyapunov Kontrol Metodu ile Senkronizasyonu

Zühra KARACA
Nimet KORKMAZ
Yasemin ALTUNCU
Recai KILIÇ
Pages
736–740
Publication Date
2021-12-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, it has been shown that the system with the Lyapunov control method is fired synchronously regardless of the changes in the value of the synaptic coupling weight.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Although there are many studies on the electrically coupled Izhikevich neuron model in the literature, the study of the chemically coupled structure is limited.
📊
Key Findings & Data:The synchronization of bidirectional chemically coupled Izhikevich neurons with the Lyapunov control method is discussed for the first time in this study.
💡
Conclusion & Impact:Finally, it has been shown that the system with the Lyapunov control method is fired synchronously regardless of the changes in the value of the synaptic coupling weight.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Izhikevich Nöron Modeli · Kimyasal Kuplaj · Senkronizasyon

Abstract

Although there are many studies on the electrically coupled Izhikevich neuron model in the literature, the study of the chemically coupled structure is limited. The synchronization of bidirectional chemically coupled Izhikevich neurons with the Lyapunov control method is discussed for the first time in this study. Standard deviation results are given to observe the effect of the coupling weight of the coupled neurons. With the Lyapunov controller applied to one of the coupled neurons, the control of whether the neurons are synchronized regardless of the coupling weight was also observed by means of standard deviation analysis. Finally, it has been shown that the system with the Lyapunov control method is fired synchronously regardless of the changes in the value of the synaptic coupling weight.

Özet

Literatürde, elektriksel kuplajlı Izhikevich nöron modeline ait birçok çalışma olmasına rağmen kimyasal kuplajlı yapıya ait inceleme sınırlı sayıdadır. Çift yönlü kimyasal olarak kuplajlanan iki adet Izhikevich nöronunun Lyapunov kontrol yöntemiyle senkronizasyonu ilk defa bu çalışmada ele alınmıştır. Kuplajlanan nöronların kuplajlama ağırlığının etkisini gözlemlemek için standart sapma sonuçları verilmiştir. Kuplajlanan nöronlardan birine uygulanan Lyapunov kontrolörü ile, nöronların kuplajlama ağırlığından bağımsız şekilde senkron hale gelip gelmediğinin kontrolü yine standart sapma analizi vasıtası ile gözlemlenmiştir. Son olarak, Lyapunov kontrol yöntemi uygulanan sistemin, sinaptik kuplajlama ağırlık değerinin değişikliklerinden bağımsız bir şekilde senkron olarak ateşlendiği gösterilmiştir.

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Cite This Article

KARACA, Z., KORKMAZ, N., ALTUNCU, Y., KILIÇ, R. (2021). Synchronization of the Chemically Coupled Izhikevich Neuron Model with the Lyapunov Control Method. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 32, 736–740. https://ajindex.com/articles/470209

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