Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems

DOI10.14232/EJQTDE.2023.1.22arXiv2109.12673OpenAlexW4378465412MaRDI QIDQ6077763

Fernando Fernández-Sánchez, E. García-Medina, Douglas Duarte Novaes, Victoriano Carmona

Publication date: 26 September 2023

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12673

zbMATH Keywords

Taylor series expansionPoincaré half-mapspiecewise planar linear systemsNewton-Puiseux series expansion

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Discontinuous ordinary differential equations (34A36)

Related Items (1)

A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness

This page was built for publication: Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems