Convergence and periodicity of solutions for a class of difference systems

DOI10.1155/ADE/2006/70461zbMath1139.39010OpenAlexW1987184984MaRDI QIDQ2472220

Guang Zhang, Honghua Bin, Li-Hong Huang

Publication date: 20 February 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54217

zbMATH Keywords

convergenceperiodicityartificial neural networkdifference systemstwo neurons

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Additive difference equations (39A10)

Related Items (4)

Periodicity in a class of systems of delay difference equations ⋮ Chaotic single neuron model with periodic coefficients with period two ⋮ Eventually periodic solutions of single neuron model ⋮ Periodic orbits of a neuron model with periodic internal decay rate

Cites Work

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• Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system
• Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network
• Convergence and periodicity of solutions for a discrete-time network model of two neurons
• Delay induced periodicity in a neural netlet of excitation and inhibition
• Neurons with graded response have collective computational properties like those of two-state neurons.

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