Poincaré compactification for non-polynomial vector fields

DOI10.1007/s12346-020-00386-1zbMath1440.34040arXiv2002.02441OpenAlexW3007370042MaRDI QIDQ2302189

Yanyan Li

Publication date: 25 February 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02441

zbMATH Keywords

polynomial vector fieldsPoincaré compactificationLipschitz continuous vector fieldspiecewise linear vector fields

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Studying of behavior at infinity of vector fields on Poincaré's sphere: revisited
• Geometry of the Poincaré compactification of a four-dimensional food-web system
• A generalization of the Poincaré compactification
• Allee effect acting on the prey species in a Leslie-Gower predation model
• Phase portraits of continuous piecewise linear Liénard differential systems with three zones
• Piecewise smooth vector fields in \(\mathbb{R}^3\) at infinity
• Critical points at infinity and blow up of solutions of autonomous polynomial differential systems via compactification
• Stable piecewise polynomial vector fields
• Differential Equations Defined by the Sum of two Quasi-Homogeneous Vector Fields
• On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications
• Introduction to the Qualitative Theory of Differential Systems

This page was built for publication: Poincaré compactification for non-polynomial vector fields