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Bifurcation of a class of discrete-time neural networks

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2 Author(s)
Xiaoliang Zhou ; Dept. of Math., Guangdong Ocean Univ., Zhanjiang ; Xueliang Gao

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.

Published in:

Cybernetics and Intelligent Systems, 2008 IEEE Conference on

Date of Conference:

21-24 Sept. 2008