On polynomial forms of nonlinear functional differential equations
type: Item
instance of: scholarly article
title: On polynomial forms of nonlinear functional differential equations
zbMATH Open document ID: 1482.34148
author: Olivier Hénot
published in: Journal of Computational Dynamics
publication date: 2021-09-10T00:00:00Z
review text: The author investigates autonomous retarded functional differential equations with nonlinearities consisting of elementary functions. He shows the existence of an embedding which yields the auxiliary polynomial differential equation for these retarded differential equations. The relationship between the dynamics of the original and the auxiliary polynomial differential equation is then characterized. Some applications and dynamical features are also presented.
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34K17
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K21
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 7394007
zbMATH Keywords: functional differential equations
zbMATH Keywords: automatic differentiation
zbMATH Keywords: equilibria
zbMATH Keywords: periodic orbits
zbMATH Keywords: invariant manifolds
reviewed by: Rodica Luca
MaRDI profile type: Publication
full work available at URL: jcd.2021013
OpenAlex ID: W3177323227
Wikidata QID: Q115219028
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DOI: 10.3934/JCD.2021013
description: scientific article; zbMATH DE number 7394007