Periodic Solutions of a Simple Delayed Neuron Network

Guo Jin-hua · Journal of Jilin University(Science Edition) · 2008

We studied the existence of periodic solutions of a neural network with time delay.We firstly investigated the local stability of the system and deduced the conditions of a local Hopf bifurcation.Moreover,using the global Hopf bifurcation theorem for FDE,we also obtained the conditions that guarantee the neuron has multiple periodic solutions.

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