The density of separatrix connections in the space of polynomial foliations in \(\mathbb{C}P^{2}\)

DOI10.1134/S0081543806030072zbMath1351.37203MaRDI QIDQ2342245

Denis Volk

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Generic properties, structural stability of dynamical systems (37C20) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (1)

Structure of leaves and the complex Kupka-Smale property

Cites Work

• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• Quadratic vector fields in \(\mathbb{C}P^{2}\) with solvable monodromy group at infinity
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