Traveling waves in fully coupled networks of linear oscillators

DOI10.1134/S0965542522010079zbMath1503.34086OpenAlexW4213146478MaRDI QIDQ2116201

A. Yu. Kolesov, S. D. Glyzin

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542522010079

zbMATH Keywords

stabilitytravelling wavesdelay systemchaotic dynamicsasymptotic behaviourbufferingnetworks of oscillators

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Periodic solutions to functional-differential equations (34K13) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• On a method for mathematical modeling of chemical synapses
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• The buffer phenomenon in ring-like chains of unidirectionally connected generators
• Relaxation self-oscillations in Hopfield networks with delay
• Neurons with graded response have collective computational properties like those of two-state neurons.
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