Global Existence of Periodic Solutions in a Delayed Tri–neuron Network

In this paper, a tri–neuron network model with time delay is investigated. By using the Bendixson-s criterion for high– dimensional ordinary differential equations and global Hopf bifurcation theory for functional differential equations, sufficient conditions for existence of periodic solutions when the time delay is sufficiently large are established.

Authors:

• Kejun Zhuang
• Zhaohui Wen

Keywords:

• Delay
• global Hopf bifurcation
• neural network
• periodicsolutions.

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