Hopf bifurcation in a general n-neuron ring network with n time delays
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 295
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شناسه ملی سند علمی:
JR_IJNAO-4-2_002
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
In this paper, we consider a general ring network consisting of n neurons and n time delays. By analyzing the associated characteristic equation, a classification according to n is presented. It is investigated that Hopf bifur-cation occurs when the sum of the n delays passes through a critical value.In fact, a family of periodic solutions bifurcate from the origin, while the zero solution loses its asymptotically stability. To illustrate our theoretical results, numerical simulation is given.
کلیدواژه ها:
نویسندگان
e Javidmanesh
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi Univer-sity of Mashhad, Mashhad, Iran
m Khorshidi
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi Univer-sity of Mashhad, Mashhad, Iran