A cyclic system with delay and its characteristic equation

DOI10.3934/dcdss.2020001zbMath1484.34161arXiv1707.06726OpenAlexW2962764721MaRDI QIDQ2178715

Karel Hasik, Anatoli F. Ivanov, Elena Braverman, Sergei I. Trofimchuk

Publication date: 11 May 2020

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

Full work available at URL: https://arxiv.org/abs/1707.06726

zbMATH Keywords

linearizationcharacteristic equationoscillating solutionsmonotone solutionsasymptotic behavior of eigenvaluesleading eigenvaluecyclic delay systemseigenvalues with positive real partsoverall negative feedbacksign feedback

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Oscillation theory of functional-differential equations (34K11)

Related Items (3)

Global stability and periodicity in a glucose-insulin regulation model with a single delay ⋮ Distributed Delay Differential Equation Representations of Cyclic Differential Equations ⋮ Periodic solutions for an \(N\)-dimensional cyclic feedback system with delay

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