Center-stable manifolds for differential equations with state-dependent delays

DOI10.3934/dcds.2009.23.1009zbMath1163.34047OpenAlexW2082163258MaRDI QIDQ1001666

Hans-Otto Walther, Redouane Qesmi

Publication date: 19 February 2009

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

Full work available at URL: https://doi.org/10.3934/dcds.2009.23.1009

zbMATH Keywords

functional differential equationstate-dependent delaycenter-stable manifold

Mathematics Subject Classification ID

Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Invariant manifolds of functional-differential equations (34K19)

Related Items (10)

Functional implicit hyperbolic fractional order differential equations with delay ⋮ Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays ⋮ Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations ⋮ Differential equations with locally bounded delay ⋮ More on linearized stability for neutral equations with state-dependent delays ⋮ The solution manifolds of impulsive differential equations ⋮ Solution manifolds which are almost graphs ⋮ Algebraic-delay differential systems, state-dependent delay, and temporal order of reactions ⋮ Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop ⋮ Local stability analysis of differential equations with state-dependent delay

This page was built for publication: Center-stable manifolds for differential equations with state-dependent delays