Bifurcations of meromorphic vector fields on the Riemann sphere

DOI10.1017/S0143385700009883zbMath0863.58056MaRDI QIDQ4863820

Carlos Valero-Valdés, Jesus Muciño-Raymundo

Publication date: 3 June 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Riemann sphereaccumulation pointsmeromorphic vector fields

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (12)

Integrability and adapted complex structures to smooth vector fields on the plane ⋮ Dynamics of singular complex analytic vector fields with essential singularities II ⋮ Remarks on rational vector fields on \(\mathbb{CP}^1\) ⋮ Unnamed Item ⋮ Dynamics of singular complex analytic vector fields with essential singularities I ⋮ On geodesibility of algebrizable planar vector fields ⋮ A characterization of multiplicity-preserving global bifurcations of complex polynomial 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 \(\text{PSL}(2,\mathbb{C})\) ⋮ Analytic classification of families of linear differential systems unfolding a resonant irregular singularity ⋮ Geometry and dynamics of the Schur-Cohn stability algorithm for one variable polynomials ⋮ Topological and analytical classification of vector fields with only isochronous centres

Cites Work

• Ergodicity of billiard flows and quadratic differentials
• Hausdorff dimension of sets of nonergodic measured foliations
• Foliations with measure preserving holonomy
• On the density of Strebel differentials
• Limit-cycles and rotated vector fields

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