Bifurcation of a class of discrete-time neural networks

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 formula for det...

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Bibliographic Details
Published in2008 IEEE Conference on Cybernetics and Intelligent Systems pp. 705 - 709
Main Authors Xiaoliang Zhou, Xueliang Gao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.09.2008
Subjects
Bifurcation
Electronic mail
Hopfield neural networks
Mathematics
Neural networks
Neurons
Oceans
Stability
Sufficient conditions
Transfer functions
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Summary: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 formula for determining the direction and the stability of flip bifurcations are obtained. The theoretical analysis is verified by numerical simulations.
ISBN:1424416736
9781424416738
ISSN:2326-8123
DOI:10.1109/ICCIS.2008.4670740