A new algorithm for determining the monodromy of a planar differential system
type: Item
instance of: scholarly article
title: A new algorithm for determining the monodromy of a planar differential system
zbMATH Open document ID: 1334.34188
author: Antonio Algaba
author: Cristóbal García
author: M. Reyes
published in: Applied Mathematics and Computation
publication date: 2016-04-25T00:00:00Z
Mathematics Subject Classification ID: 34M35
zbMATH DE Number: 6573101
zbMATH Keywords: monodromy
zbMATH Keywords: characteristic orbits
zbMATH Keywords: degenerate systems
zbMATH Keywords: Newton diagram
MaRDI profile type: Publication
full work available at URL: j.amc.2014.03.129
OpenAlex ID: W2006800584
cites work: Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
cites work: Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems
cites work: Quasi-homogeneous normal forms
cites work: The integrability problem for a class of planar systems
cites work: Characterization of a monodromic singular point of a planar vector field
cites work: The center problem for a family of systems of differential equations having a nilpotent singular point
cites work: Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
cites work: Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
cites work: Q3994902
cites work: Singularities of vector fields on the plane
cites work: A necessary condition in the monodromy problem for analytic differential equations on the plane
cites work: Monodromy and stability of a class of degenerate planar critical points
cites work: The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems
cites work: ON THE DEGENERATE CENTER PROBLEM
cites work: ON THE CENTER CONDITIONS FOR ANALYTIC MONODROMIC DEGENERATE SINGULARITIES
cites work: ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS
cites work: Q4328690
cites work: Focus-center problem of planar degenerate system
cites work: Q4004269
DOI: 10.1016/J.AMC.2014.03.129
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description: scientific article; zbMATH DE number 6573101