On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications

DOI10.1137/17M1124498zbMath1411.34027arXiv1611.06346OpenAlexW2891812850MaRDI QIDQ4686626

Kaname Matsue

Publication date: 4 October 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06346

zbMATH Keywords

Poincaré compactificationsquasi-homogeneous desingularizationsstationary and periodic blow-up solutions of ODEstime-scale desingularizations

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) Geometric methods in ordinary differential equations (34A26) Growth and boundedness of solutions to ordinary differential equations (34C11)

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Cites Work

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• Compactification and desingularization of spaces of polynomial Liénard equations
• A classification of elementary cycles
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