DocumentCode
3047583
Title
Flip Bifurcation of a Class of Discrete-time Neural Networks
Author
Yu, Rong ; Zhou, Xiaoliang
Author_Institution
Shanxi Forestry Vocational Technol. Coll., Taiyuan, China
Volume
4
fYear
2009
fDate
19-21 May 2009
Firstpage
91
Lastpage
95
Abstract
In this paper, a class of discrete-time system modeling a network with two neurons is considered. Its flip bifurcations (also called period-doubling bifurcations for map) are demonstrated by deriving the equation describing the flow on the center manifold. In particular, the explicit formulae for determining the direction and the stability of flip bifurcations are obtained. The theoretical analysis is verified by numerical simulations.
Keywords
bifurcation; discrete time systems; neural nets; stability; discrete-time neural network; discrete-time system modeling; flip bifurcation; period-doubling bifurcation; stability; Bifurcation; Electronic mail; Hopfield neural networks; Intelligent networks; Intelligent systems; Neural networks; Neurons; Stability; Sufficient conditions; Transfer functions; center manifold; flip bifurcations; neural networks;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location
Xiamen
Print_ISBN
978-0-7695-3571-5
Type
conf
DOI
10.1109/GCIS.2009.223
Filename
5209325
Link To Document