Autowave processes in diffusion neuron systems

DOI10.1134/S0965542519090094zbMath1434.34071OpenAlexW2980979710WikidataQ127031475 ScholiaQ127031475MaRDI QIDQ2284250

S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov

Publication date: 14 January 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519090094

zbMATH Keywords

stabilityasymptotic behaviorautowave processesbilocal modeldiffusion system, time-delay

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Singular perturbations of functional-differential equations (34K26)

Cites Work

• Time operator for diffusion.
• Stable relaxation cycle in a bilocal neuron model
• On a method for mathematical modeling of chemical synapses
• Self-excited wave processes in chains of diffusion-linked delay equations
• A modification of Hutchinson’s equation
• Self-excited relaxation oscillations in networks of impulse neurons

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