Configurations of critical points in complex polynomial differential equations
type: Item
instance of: scholarly article
title: Configurations of critical points in complex polynomial differential equations
zbMATH Open document ID: 1184.34085
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-24T00:00:00Z
Mathematics Subject Classification ID: 34M35
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5569388
zbMATH Keywords: polynomial vector field
zbMATH Keywords: holomorphic vector field
zbMATH Keywords: configuration of singularities
zbMATH Keywords: Euler-Jacobi formula
zbMATH Keywords: center type critical points
author: M. J. Álvarez
author: Armengol Gasull
author: Rafel Prohens
MaRDI profile type: Publication
full work available at URL: j.na.2008.11.018
OpenAlex ID: W2032974948
cites work: Q3322388
cites work: Q3290829
cites work: Plane Autonomous Systems with Rational Vector Fields
cites work: Conformal equivalence of analytic flows
cites work: Holomorphic flows on simply connected regions have no limit cycles
cites work: Qualitative theory of planar differential systems
cites work: Some Applications of the Euler-Jacobi Formula to Differential Equations
cites work: Periodic orbits in complex Abel equations
cites work: A survey of quadratic systems
cites work: Q3025493
cites work: Local and global phase portrait of equation \(\dot z=f(z)\)
cites work: Simultaneous bifurcation of limit cycles from two nests of periodic orbits
cites work: Euler-Jacobian formula for double points and applications to quadratic and cubic systems
cites work: Q5522419
cites work: Q3884239
cites work: On meromorphic complex differential equations
cites work: Q2706801
cites work: Vector fields defined by complex functions
cites work: On some generalizations of Jacobi's residue formula
cites work: Q3808466
DOI: 10.1016/J.NA.2008.11.018
description: scientific article; zbMATH DE number 5569388