Cheap complex limit cycles

DOI10.1088/1361-6544/aa999azbMath1407.37077arXiv1702.00897OpenAlexW2614273553MaRDI QIDQ4635059

Yu. G. Kudryashov, Nataliya Yu. Goncharuk

Publication date: 13 April 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00897

zbMATH Keywords

holonomy mapcomplex limit cyclepolynomial foliation

Mathematics Subject Classification ID

Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

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• Densité des feuilles de certaines équations de Pfaff à 2 variables
• Topological and analytic conjugacy of noncommutative groups of germs of conformal mappings
• Separatrices for non solvable dynamics on \(\mathbb{C},0\)
• Minimal, rigid foliations by curves on \(\mathbb C\mathbb P^n\)
• Countable set of limit cycles for the equation \(dw/dz=P_n(z,w)/Q_n(z,w)\)
• Dynamics of local groups of conformal mappings and generic properties of differential equations on \(\mathbb{C}^{2}\)
• Topology of analytic foliations in \(\mathbb{C}^{2}\). The Kupka-Smale property
• A generic analytic foliation in \(\mathbb{C}^{2}\) has infinitely many cylindrical leaves
• Bounded limit cycles of polynomial foliations of \(\mathbb {C}^{2}\)
• ON THE DENSITY OF SOLUTIONS OF AN EQUATION IN $ \mathbf{CP}^2$
• Fixed points and entropy for non solvable dynamics onC, O
• Sur l'existence de points fixes attractifs pour les sous-groupes de Aut(C,0)
• Centennial History of Hilbert's 16th Problem
• On fixed points of conformal pseudogroups
• AN EXAMPLE OF EQUATIONSdw/dz=P_n(z,w)/Q_n(z,w) HAVING A COUNTABLE NUMBER OF LIMIT CYCLES AND ARBITRARILY LARGE PETROVSKIĬ-LANDIS GENUS

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