Stability and bifurcation analysis on a discrete-time BAM network model with three neurons

Xiaohui Wang, Xumeng Li · 2011

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.

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