Enumerating combinatorial classes of the complex polynomial vector fields in ℂ

DOI10.1017/S0143385711000952zbMath1285.37015arXiv1007.5003MaRDI QIDQ4928733

Kealey Dias

Publication date: 18 June 2013

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

Full work available at URL: https://arxiv.org/abs/1007.5003

zbMATH Keywords

combinatorial classescomplex polynomial vector fields

Mathematics Subject Classification ID

Dynamical aspects of holomorphic foliations and vector fields (37F75) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (8)

On the separatrix graph of a rational vector field on the Riemann sphere ⋮ On parameter space of complex polynomial vector fields in \(\mathbb{C}\) ⋮ Global phase portrait and local integrability of holomorphic systems ⋮ A characterization of multiplicity-preserving global bifurcations of complex polynomial vector fields ⋮ Topological classification of polynomial complex differential equations with all the critical points of centre type ⋮ Quadratic differentials, measured foliations, and metric graphs on punctured surfaces ⋮ An Audit Tool for Genome Rearrangement Algorithms ⋮ Topological enumeration of complex polynomial vector fields

Cites Work

• Analytic combinatorics of non-crossing configurations
• Central and local limit theorems applied to asymptotic enumeration
• Singularity Analysis of Generating Functions
• Classification of complex polynomial vector fields in one complex variable
• GFUN

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