Analytic nilpotent centers with analytic first integral
type: Item
instance of: scholarly article
title: Analytic nilpotent centers with analytic first integral
zbMATH Open document ID: 1194.34048
author: Isaac A. García
author: Jaume Giné
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-03-29T00:00:00Z
review text: This paper considers an analytic system having an isolated nilpotent singularity at the origin: \[ \dot{x}=y+X_2(x,y), \dot{y}=Y_2(x,y). \] A necessary condition for local analytic integrability is given. The condition can be verified using the normal form theory.
reviewed by: Jinzhi Lei
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34C20
zbMATH DE Number: 5687535
zbMATH Keywords: nilpotent centers
zbMATH Keywords: analytics integrability
zbMATH Keywords: planar differential systems
MaRDI profile type: Publication
full work available at URL: j.na.2010.01.011
OpenAlex ID: W2048684342
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DOI: 10.1016/J.NA.2010.01.011
description: scientific article; zbMATH DE number 5687535