Bifurcation of a Cohen-Grossberg Neural Network with Discrete Delays

Qiming Liu and Wang Zheng

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

Abstract:

A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine the direction of Hopf bifurcation and stability of the periodic solutions. Moreover, a set of sufficient conditions are given to guarantee the global Hopf bifurcation. Numerical simulations are given to illustrate the obtained results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:909385

DOI: 10.1155/2012/909385

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