Periodic perturbations of a class of functional differential equations

DOI10.1007/s10884-020-09928-2zbMath1500.34059OpenAlexW3123339605WikidataQ115383316 ScholiaQ115383316MaRDI QIDQ2116457

Marco Spadini

Publication date: 17 March 2022

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

Full work available at URL: https://doi.org/10.1007/s10884-020-09928-2

zbMATH Keywords

functional differential equationsbranches of periodic solutionsdegree of tangent vector field

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Periodic solutions to functional-differential equations (34K13) Ordinary differential equations and systems on manifolds (34C40) Nonautonomous smooth dynamical systems (37C60) Perturbations of functional-differential equations (34K27)

Related Items (2)

Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson's disease ⋮ Periodic solutions to perturbed nonlinear oscillators with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Branches of harmonic solutions to periodically perturbed coupled differential equations on manifolds
• Sunflower model: time-dependent coefficients and topology of the periodic solutions set
• A set of axioms for the degree of a tangent vector field on differentiable manifolds
• On the use of reducible-functional differential equations in biological models
• Reductibilite des systèmes hereditaires
• A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• On general properties of retarded functional differential equations on manifolds
• About the notion of non-T -resonance and applications to topological multiplicity results for ODEs on differentiable manifolds
• On the set of harmonic solutions of periodically perturbed autonomous differential equations on manifolds
• Periodic Perturbations With Delay of Autonomous Differential Equations on Manifolds
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

This page was built for publication: Periodic perturbations of a class of functional differential equations