Homoclinic and stable periodic solutions for differential delay equations from physiology

DOI10.3934/DCDS.2018157zbMath1401.34077OpenAlexW2802856630WikidataQ129915767 ScholiaQ129915767MaRDI QIDQ1661129

Vera Ignatenko

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018157

zbMATH Keywords

homoclinic solutionstable periodic solutiondifferential delay equationglobal behaviorMacKey-Glass type equation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Cites Work

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• Introduction to functional differential equations
• Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
• Delay equations. Functional-, complex-, and nonlinear analysis
• Wandering solutions of delay equations with sine-like feedback
• Oscillation and Chaos in Physiological Control Systems

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