A generic analytic foliation in \(\mathbb{C}^{2}\) has infinitely many cylindrical leaves

DOI10.1134/S0081543806030084zbMath1351.32042MaRDI QIDQ2342247

T. I. Golenishcheva-Kutuzova

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) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

Structure of leaves and the complex Kupka-Smale property ⋮ Cheap complex limit cycles

Cites Work

• Topology of analytic foliations in \(\mathbb{C}^{2}\). The Kupka-Smale property
• Centennial History of Hilbert's 16th Problem
• Unnamed Item
• Unnamed Item

This page was built for publication: A generic analytic foliation in \(\mathbb{C}^{2}\) has infinitely many cylindrical leaves