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Hopf Bifurcation in A General N-Neuron Ring Network With N Time Delays
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نویسنده
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Javidmanesh Elham ,Khorshidi Mohsen
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منبع
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Iranian Journal Of Numerical Analysis And Optimization - 2014 - دوره : 4 - شماره : 2 - صفحه:15 -30
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چکیده
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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.
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کلیدواژه
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Ring Network ,Stability ,Periodic Solution ,Hopf Bifurcation ,Time Delay.
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آدرس
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Ferdowsi University Of Mashhad, Ferdowsi University Of Mashhad, ایران, Ferdowsi University Of Mashhad, Ferdowsi University Of Mashhad, ایران
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پست الکترونیکی
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mohsen.khorshidi89@gmail.com
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Authors
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