Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Ye Sun and Chunrui Zhang
Pages: [87] - [95]
Received Date: November 23, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121742
In this paper, we analyze a neural network system with delay. Firstly, by considering time delay as bifurcation parameter, we discuss the stability of the model and the conditions when Hopf bifurcation occurs. Finally, after complicated calculations with Lyapunov-Schmidt reduction, we obtain the approximate analytic expression of periodic solutions near the Hopf bifurcation points.
neural network, delay Hopf bifurcation, periodic solutions, Lyapunov-Schmidt reduction.
