Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1136.93039
Zhao, Hongyong; Wang, Lei; Ma, Changxiu
Hopf bifurcation and stability analysis on discrete-time Hopfield neural network with delay. (English)
[J] Nonlinear Anal., Real World Appl. 9, No. 1, 103-113 (2008). ISSN 1468-1218

Summary: A discrete-time Hopfield neural network with delay is considered. We give some sufficient conditions ensuring the local stability of the equilibrium point for this model. By choosing the delay as a bifurcation parameter, we demonstrated that Neimark-Sacker bifurcation (or Hopf bifurcation for map) would occur when the delay exceeds a critical value. A formula for determining the direction bifurcation and stability of bifurcation periodic solutions is given by applying the normal form theory and the center manifold theorem. Some numerical simulations for justifying the theoretical results are also provided.

MSC 2000:: *93D99 Stability of control systems
92B20 General theory of neural networks

Keywords: Hopfield neural networks; discrete time; Neimark-Sacker bifurcation; stability; periodic solution

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]