Stable relaxation cycle in a bilocal neuron model

DOI10.1134/S0012266118100026zbMath1459.34158OpenAlexW2901451767MaRDI QIDQ1734710

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

Publication date: 27 March 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118100026

zbMATH Keywords

stabilityasymptotic behaviorrelaxation cycleneuron model

Mathematics Subject Classification ID

Neural biology (92C20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Singular perturbations of functional-differential equations (34K26)

Related Items (3)

Mechanism of appearing complex relaxation oscillations in a system of two synaptically coupled neurons ⋮ Autowave processes in diffusion neuron systems ⋮ Relaxation autowaves in a bi-local neuron model

Cites Work

• On a method for mathematical modeling of chemical synapses
• Periodic traveling-wave-type solutions in circular chains of unidirectionally coupled equations
• Self-excited wave processes in chains of diffusion-linked delay equations
• The buffer phenomenon in ring-like chains of unidirectionally connected generators
• A modification of Hutchinson’s equation
• Self-excited relaxation oscillations in networks of impulse neurons
• Relaxation self-oscillations in Hopfield networks with delay

This page was built for publication: Stable relaxation cycle in a bilocal neuron model