Topological and analytical classification of vector fields with only isochronous centres

DOI10.1080/10236198.2013.772598zbMath1320.37010OpenAlexW2050184637MaRDI QIDQ2855235

Jesus Muciño-Raymundo, Martín Eduardo Frías-Armenta

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.772598

zbMATH Keywords

isochronous centerplanar vector fieldfoliationcomplex polynomialanalytic varietytopological transformation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamics induced by flows and semiflows (37C10) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items

Dynamics of singular complex analytic vector fields with essential singularities II ⋮ Dynamics of singular complex analytic vector fields with essential singularities I ⋮ On geodesibility of algebrizable planar vector fields ⋮ Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere ⋮ Classification of rational 1-forms on the Riemann sphere up to \(\text{PSL}(2,\mathbb{C})\)

Cites Work

• Unnamed Item
• Unnamed Item
• Configurations of critical points in complex polynomial differential equations
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Complex structures adapted to smooth vector fields
• Linearization of isochronous centers
• Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen
• The number of trees
• Phase Portraits of Planar Quadratic Systems
• Topological classification of polynomial complex differential equations with all the critical points of centre type
• Classification of complex polynomial vector fields in one complex variable
• The number of limit cycles due to polynomial perturbations of the harmonic oscillator
• Bifurcations of meromorphic vector fields on the Riemann sphere
• A note on the topological classification of complex polynomial differential equations with only centre singularities