Bifurcation of a three-unit neural network

DOI10.1016/j.amc.2010.06.034zbMath1215.34085OpenAlexW2012833679MaRDI QIDQ711342

Yaonan Wang, Li-Hong Huang, Shuliang Zou

Publication date: 25 October 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.034

zbMATH Keywords

stabilityneural networkbifurcationdelay differential equationequivariance

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (3)

Dynamics and bifurcations of a discrete time neural network with self connection ⋮ Dynamical stability in a delayed neural network with reaction-diffusion and coupling ⋮ Effects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neurons

Cites Work

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• Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays
• Singularities and groups in bifurcation theory. Volume II
• Stability in a model of a delayed neural network
• Robust chaos in neural networks
• COMPLETE CLASSIFICATION OF EQUILIBRIA AND THEIR STABILITY IN A DELAYED NEURON NETWORK
• Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
• Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
• Bifurcation of the periodic solution in a three-unit neural network with delay

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