Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays

Joint Authors

Liu, Qiming
Yang, Sumin

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-06

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

A Cohen-Grossberg neural network with discrete delays is investigated in this paper.

Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation.

Moreover, the direction and stability of Hopf bifurcation are obtained by applying the normal form theory and the center manifold theorem.

Numerical simulations are given to illustrate the obtained results.

American Psychological Association (APA)

Liu, Qiming& Yang, Sumin. 2014. Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-473908

Modern Language Association (MLA)

Liu, Qiming& Yang, Sumin. Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-473908

American Medical Association (AMA)

Liu, Qiming& Yang, Sumin. Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-473908

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-473908