Smooth centre manifolds for impulsive delay differential equations

DOI10.1016/J.JDE.2018.04.021zbMath1503.34125OpenAlexW2801598102MaRDI QIDQ2109143

Kevin E. M. Church, Xinzhi Liu

Publication date: 20 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.021

zbMATH Keywords

centre manifoldvariation-of-constants formulaimpulsive delay differential equationLyapunov-Perron methodFloquet theorem

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Invariant manifolds of functional-differential equations (34K19)

Related Items (7)

Eigenvalues and delay differential equations: periodic coefficients, impulses and rigorous numerics ⋮ Growth in an impulsive integral inequality ⋮ Uniqueness of solutions and linearized stability for impulsive differential equations with state-dependent delay ⋮ Computation of centre manifolds and some codimension-one bifurcations for impulsive delay differential equations ⋮ A survey on the modeling of hybrid behaviors: how to account for impulsive jumps properly ⋮ Rigorous continuation of periodic solutions for impulsive delay differential equations ⋮ Analysis of a SIR model with pulse vaccination and temporary immunity: stability, bifurcation and a cylindrical attractor

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