Title :
Period-Doubling bifurcation in discrete Hopfield neural network
Author :
Marichal, R. ; González, E.J.
Author_Institution :
Syst. & Autom. Eng. Dept., Univ. of La Laguna, La Laguna, Spain
Abstract :
A two-neuron model of a discrete Hopfield neural network is considered. The local stability is analyzed with the associated characteristic model. In order to study the dynamic behavior, the Period-Doubling bifurcation is examined. In the case of two neurons, one necessary condition for yielding the Period-Doubling bifurcation is found. In addition, the stability and direction of this bifurcation are determined by applying the normal form theory.
Keywords :
Hopfield neural nets; bifurcation; stability; discrete Hopfield neural network; dynamic behavior; local stability; normal form theory; period doubling bifurcation; two neuron model; Bifurcation; Biological neural networks; Chaos; Mathematical model; Stability analysis; Trajectory; Bifurcation; Neural Networks; Normal Form; Period-Doubling;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002509
