Asymptotic constancy and periodicity for a single neuron model with delay

DOI10.1016/J.NA.2009.01.078zbMath1171.34050OpenAlexW1992218769MaRDI QIDQ1030119

Gabriella Vas

Publication date: 1 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.078

zbMATH Keywords

periodic solutionasymptotic constancypositive feedbackdelayed cellular network

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Periodic solutions to functional-differential equations (34K13)

Related Items (1)

Saddle-node bifurcation of periodic orbits for a delay differential equation

Cites Work

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• Liapunov-Razumikhin functions and an invariance principle for functional differential equations
• Theory of functional differential equations. 2nd ed
• Stability analysis of a single neuron model with delay
• Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
• Delay equations. Functional-, complex-, and nonlinear analysis
• Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
• The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
• Unique periodic orbits for delayed positive feedback and the global attractor

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