Edge of Chaos in Integro-Differential Model of Nerve Conduction

Ravi Agarwal, Alexander Domoshnitsky, Angela Slavova, Ventsislav Ignatov

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

In this paper, we consider an integro-differential model of nerve conduction which presents the propagation of impulses in the nerve’s membranes. First, we approximate the original problem via cellular nonlinear networks (CNNs). The dynamics of the CNN model is investigated by means of local activity theory. The edge of chaos domain of the parameter set is determined in the low-dimensional case. Computer simulations show the bifurcation diagram of the model and the dynamic behavior in the edge of chaos region. Moreover, stabilizing control is applied in order to stabilize the chaotic behavior of the model under consideration to the solutions related to the original behavior of the system.

اللغة الأصليةالإنجليزيّة
رقم المقال2046
دوريةMathematics
مستوى الصوت12
رقم الإصدار13
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - يوليو 2024

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