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
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;
Conference_Titel :
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3571-5
DOI :
10.1109/GCIS.2009.223
