Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps

DOI10.1016/j.aim.2021.107924zbMath1479.34056arXiv1906.10171OpenAlexW3184404903MaRDI QIDQ2048631

Jaume Llibre, Antoni Ferragut, Maria Alberich-Carramiñana

Publication date: 23 August 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10171

zbMATH Keywords

Cremona mapalgebraic limit cycleplane quadratic differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (2)

Polynomial differential systems with hyperbolic limit cycles ⋮ Number of limit cycles for planar systems with invariant algebraic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Action of the Cremona group on foliations on \(\mathbb{P}_{\mathbb{C}}^2\): some curious facts
• Effective computation of base points of ideals in two-dimensional local rings
• Invariant algebraic curves of large degree for quadratic system
• Algebraic limit cycles of degree 4 for quadratic systems
• Hilbert modular foliations on the projective plane
• Qualitative theory of planar differential systems
• On a Result of Darboux
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Uniqueness of algebraic limit cycles for quadratic systems
• Geometry of the plane Cremona maps

This page was built for publication: Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps