Bautin bifurcation in a class of two-neuron networks with resonant bilinear terms

Xiaofan Yang, Maobin Yang, Huaiyi Liu and Xiaofeng Liao

Chaos, Solitons & Fractals, 2008, vol. 38, issue 2, 575-589

Abstract: This paper addresses the dynamics of a class of two-neuron networks with resonant bilinear terms, which are of the formx˙1=(α1+a)f(x1)+(α2+b)f(x2)+cx1x2,x˙2=(α2-b)f(x1)+(α1-a)f(x2)+dx1x2,where α1 and α2 are two independent parameters. Our main contribution is to present a sufficient condition for the occurrence of a Bautin bifurcation in such a network by using the standard normal form theory and with the Maple software. Two numerical examples are given to demonstrate the utility of our result. To our knowledge, this is the first time to study Bautin bifurcation for recurrent neural networks.

Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077907000185
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:2:p:575-589

DOI: 10.1016/j.chaos.2007.01.001

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().