Title :
Stability and bifurcation analysis on a discrete-time BAM network model with three neurons
Author :
Wang, Xiaohui ; Li, Xumeng
Author_Institution :
Coll. of Sci., Hunan Agric. Univ., Changsha, China
Abstract :
Using techniques developed by Kuznetsov to discrete-time systems, we study the stability of the equilibrium and Neimark-Sacker bifurcation (also called Hopf bifurcation for map) of a tri-neural network system. The theoretical analyses are verified by numerical simulations. Our results have potential applications in neural networks.
Keywords :
bifurcation; discrete time systems; neural nets; stability; Hopf bifurcation; Neimark-Sacker bifurcation analysis; discrete-time BAM network model; discrete-time systems; equilibrium stability; neurons; tri-neural network system; Asymptotic stability; Bifurcation; Biological neural networks; Delay; Mathematical model; Neurons; Stability analysis; BAM neural network; Neimark-Sacker bifurcation; Stability;
Conference_Titel :
Electronics, Communications and Control (ICECC), 2011 International Conference on
Conference_Location :
Zhejiang
Print_ISBN :
978-1-4577-0320-1
DOI :
10.1109/ICECC.2011.6066765
