Stability and bifurcation of a discrete BAM neural network model with delays

DOI10.1016/j.chaos.2006.06.073zbMath1141.93052OpenAlexW1968903509MaRDI QIDQ2470613

Baodong Zheng, Yang Zhang, Chun-Rui Zhang

Publication date: 14 February 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.06.073

zbMATH Keywords

linear stabilityHopf bifurcationdiscrete bidirectional associative memory neural netowrk

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Stabilization of systems by feedback (93D15) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Lyapunov and storage functions (93D30) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

• Hopf bifurcation in numerical approximation of a class delay differential equations.
• Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
• The use of boundary locus plots in the identification of bifurcation points in numerical approximation of delay differential equations
• Numerical Hopf bifurcation for a class of delay differential equations
• Hopf bifurcation in numerical approximation of a \(n\)-dimension neural network model with multi-delays