On a differential equation with state-dependent delay. A center-unstable manifold connecting an equilibrium and a periodic orbit

DOI10.1007/s10884-012-9245-6zbMath1267.34125OpenAlexW1765463781WikidataQ115383563 ScholiaQ115383563MaRDI QIDQ431112

Eugen Stumpf

Publication date: 26 June 2012

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-012-9245-6

zbMATH Keywords

periodic solutionsstate-dependent delayslowly oscillating solutionscenter-unstable manifold

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Invariant manifolds of functional-differential equations (34K19)

Related Items (10)

Existence, Uniqueness, and Stability of Slowly Oscillating Periodic Solutions for Delay Differential Equations with Nonnegativity Constraints ⋮ An analysis on the stability of a state dependent delay differential equation ⋮ Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays ⋮ Abstract neutral differential equations with state‐dependent delay and almost sectorial operators ⋮ Global stability of a price model with multiple delays ⋮ Solution manifolds which are almost graphs ⋮ Singular Hopf bifurcation in a differential equation with large state-dependent delay ⋮ Global stability for price models with delay ⋮ Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop ⋮ Local stability analysis of differential equations with state-dependent delay

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