Total multiplicity of all finite critical points of the polynomial differential system
type: Item
instance of: scholarly article
title: Total multiplicity of all finite critical points of the polynomial differential system
zbMATH Open document ID: 0942.34027
author: V. A. Baltag
author: Nicolae Vulpe
published in: Differential Equations and Dynamical Systems
publication date: 2000-08-14T00:00:00Z
review text: The authors construct certain differential operators acting on the coefficient spaces of the two-dimensional real autonomous polynomial systems of differential equations. They study the total multiplicity \(m_f\) of all singular points situated in the finite part of the phase plane of a general polynomial differential system. Precise coefficients conditions for determining the value of \(m_f\) are given by using the differential operators constructed.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37B05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 12H05
zbMATH DE Number: 1158173
zbMATH Keywords: multiplicity
zbMATH Keywords: critical points
zbMATH Keywords: polynomial systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1158173