Bifurcation of the periodic solution in a three-unit neural network with delay

DOI10.1007/BF02677382zbMath0994.34063OpenAlexW2050661883MaRDI QIDQ5949530

Yiping Lin, Roland Lemmert, Peter Volkmann

Publication date: 13 October 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02677382

zbMATH Keywords

periodic solutionthree-unit networks

Mathematics Subject Classification ID

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 (2)

Bifurcation of a three-unit neural network ⋮ 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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• Introduction to functional differential equations
• A bifurcation problem for a functional differential equation of finitely retarded type
• Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
• Neurons with graded response have collective computational properties like those of two-state neurons.

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