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Periodic Solutions of a Simple Delayed Neuron Network

ZOU Jietao, ZHANG Jianguo, GUO Jinhua   

  1. College of Sciences, North China University of Technology, Beijing 100041, China
  • Received:2007-02-06 Revised:1900-01-01 Online:2008-01-26 Published:2008-01-26
  • Contact: ZOU Jietao

Abstract: 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.

Key words: time delay, Hopf bifurcation, periodic solutions, global existence

CLC Number: 

  • O175.14