Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
Stability and bifurcation in a neural network model with two delays. (English)
[J] Physica D 130, No. 3-4, 255-272 (1999). ISSN 0167-2789

Summary: A simple neural network model with two delays is considered. Linear stability of the model is investigated by analyzing the associated characteristic transcendental equation. For the case without self-connection, it is found that the Hopf bifurcation occurs when the sum of the two delays varies and passes a sequence of critical values. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. An example is given and numerical simulations are performed to illustrate the obtained results.

MSC 2000:: *34K18 Bifurcation theory of functional differential equations
34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks

Keywords: Neural networks; Time delay; Stability; Hopf bifurcation; Periodic solutions

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]