Bifurcation of a Cohen-Grossberg Neural Network with Discrete Delays. (9th April 2012)

• Record Type: Journal Article
• Authors: Liu, Qiming; Zheng, Wang
• Other Names: Cheung Wing-Sum Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-04-09
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/909385
• Languages: English
• ISSNs: 1085-3375

Abstract

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.