Global Hopf bifurcation analysis on a BAM neural network with delays

DOI10.1016/j.physleta.2006.08.078zbMath1236.34097OpenAlexW2065525907MaRDI QIDQ942669

Xiaoming Pang, Chengjun Sun, Mao'an Han

Publication date: 5 September 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.08.078

zbMATH Keywords

neural networkglobal Hopf bifurcationadditive compound matrix

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Related Items (6)

AN EFFICIENT METHOD FOR STUDYING FOLD-HOPF BIFURCATION IN DELAYED NEURAL NETWORKS ⋮ Hopf-zero bifurcation in a generalized Gopalsamy neural network model ⋮ Bifurcation of discontinuous limit cycles of the Van der Pol equation ⋮ Hopf bifurcation for neutral-type neural network model with two delays ⋮ Local and global Hopf bifurcation analysis on simplified bidirectional associative memory neural networks with multiple delays ⋮ Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays

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• Neurons with graded response have collective computational properties like those of two-state neurons.
• Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks

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