Newton vector fields on the plane and on the torus

DOI10.1080/17476930902755658zbMath1166.30001OpenAlexW2057523058MaRDI QIDQ3634292

Alberto Riesgo-Tirado, Adrian Gómez-Arciga, Alvaro Alvarez-Parrilla

Publication date: 24 June 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930902755658

zbMATH Keywords

meromorphic vector fieldelliptic vector fieldNewton vector field

Mathematics Subject Classification ID

Functions of a complex variable (30-XX)

Related Items

Unnamed Item, Dynamics of singular complex analytic vector fields with essential singularities I, On solving systems of autonomous ordinary differential equations by reduction to a variable of an algebra

Cites Work

• The continuous, desingularized Newton method for meromorphic functions
• Ecology models and Newton vector fields
• A convergent process of price adjustment and global Newton methods
• The Newton transform: An operational method for constructing integrals of dynamical systems
• Complex structures adapted to smooth vector fields
• On the classification of plane graphs representing structurally stable rational Newton flows
• Plane Autonomous Systems with Rational Vector Fields
• On the efficiency of algorithms of analysis
• On Algorithms for Solvingf(x)=0
• The Qualitative Behaviour of Newton Flows for Weierstrass’ ℘-Functions
• On Using Flows to Visualize Functions of a Complex Variable