Periodic traveling-wave-type solutions in circular chains of unidirectionally coupled equations

DOI10.1007/s11232-013-0041-1zbMath1364.34058OpenAlexW1998728781WikidataQ59448431 ScholiaQ59448431MaRDI QIDQ2449472

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

Publication date: 8 May 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-013-0041-1

zbMATH Keywords

stabilityasymptotic behaviorperiodic solutionHopfield neural networksystem with delaychain of unidirectionally coupled equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Periodic solutions to functional-differential equations (34K13) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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• A modification of Hutchinson’s equation
• Travelling waves in the Fermi-Pasta-Ulam lattice
• Neurons with graded response have collective computational properties like those of two-state neurons.

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