Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1062.34079
Song, Yongli; Han, Maoan; Wei, Junjie
Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays. (English)
[J] Physica D 200, No. 3-4, 185-204 (2005). ISSN 0167-2789

Summary: A delay-differential equation modelling a bidirectional associative memory (BAM) neural network with three neurons is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation analysis. By analyzing the associated characteristic equation, its linear stability is investigated and Hopf bifurcations are demonstrated. The stability and direction of the Hopf bifurcation are determined by applying the normal form theory and the center manifold reduction. Numerical simulation results are given to support the theoretical predictions.

MSC 2000:: *34K18 Bifurcation theory of functional differential equations
34K19 Invariant manifolds
34K17 Transformation of functional-differential equations and systems
34K13 Periodic solutions of functional differential equations
34K20 Stability theory of functional-differential equations

Keywords: Neural network; Time delay; Hopf bifurcations; Periodic solutions; Stability

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]