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黄立宏

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期刊论文

Stability and Bifurcation Analysis on a Discrete-Time System of Two Neurons

黄立宏ZHAOHUI YUAN DEWEN HU LIHONG HUANG

Applied Mathematics Letters 17 (2004) 1239-1245,-0001,():

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摘要/描述

We consider a discrete-time system modelling a network of two neurons. The situation with self-connections is addressed in terms of stability and bifurcation analysis. Choosing an appropriate bifurcation parameter, we prove that the Neimark-Sacker bifurcation occurs when the bifurcation parameter exceeds a critical value. The direction and stability of bifurcation are determined by the normal form theory and center manifold theorem. Results of some computer simulations are displayed graphically.

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