Planar real polynomial differential systems of degree \(n> 3\) having a weak focus of high order

DOI10.1216/RMJ-2012-42-2-657zbMath1254.34048MaRDI QIDQ422060

Jaume Llibre, Roland Rabanal

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1335187172

zbMATH Keywords

centerweak focuspolynomial vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (6)

On the limit cycles of a class of Kukles type differential systems ⋮ Cyclicity of a simple focus via the vanishing multiplicity of inverse integrating factors ⋮ Weak-foci of high order and cyclicity ⋮ Center problem for systems with two monomial nonlinearities ⋮ Hopf bifurcation at infinity and dissipative vector fields of the plane ⋮ Center conditions for a class of planar rigid polynomial differential systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Über das Auftreten von Wirbeln und Strudeln (geschlossener und spiraliger Integralkurven) in der Umgebung rationaler Unbestimmtheitsstellen
• Bifurcation of limit cycles and integrability of planar dynamical systems in complex form
• Eleven small limit cycles in a cubic vector field
• Algorithmic Derivation of Centre Conditions

This page was built for publication: Planar real polynomial differential systems of degree \(n> 3\) having a weak focus of high order