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العنوان
Equilibrium and Synchrony of a Dynamical System of a Model for Neurons \
المؤلف
Aboukelila, Nermeen Mohamed Ahmed.
هيئة الاعداد
باحث / نرمين محمد احمد ابوكليلة
مشرف / هشام عبد الفتاح سعد القرنشاوي
مشرف / هناء محمد محمد احمد العبسى
مناقش / احمد محمد السيد
مناقش / محمد اسماعيل يوسف البنا
الموضوع
Mathematics.
تاريخ النشر
2022.
عدد الصفحات
71 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
Mathematical Physics
تاريخ الإجازة
20/2/2022
مكان الإجازة
جامعة الاسكندريه - كلية الهندسة - قسم الرياضيات والفيزياء الهندسية
الفهرس
Only 14 pages are availabe for public view

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Abstract

The aim of this research work is to investigate the synchronization and desynchronization of an array of non-identical Izhikevich neurons in a star-like configuration. Both regular spiking neurons and fast spiking neurons are considered in the analysis. The equilibrium points and their stability for a single neuron is determined, and an adaptive stable filter is applied to suppress the spiking of the neuron. A star coupling array configuration is applied to synchronize an array of isolated neurons. Next, the adaptive stable filter is employed to suppress the spiking of the synchronized array of coupled neurons. Appreciably, one filter is enough to suppress the entire star-like array. Numerical simulations demonstrate the success of the proposed technique. The parameters govern the performance of the filter are specified, the limitations of the methodology are identified, and the required conditions for application are identified.