Integral characterization for Poincaré half-maps in planar linear systems

DOI10.1016/j.jde.2021.10.010OpenAlexW3209310812MaRDI QIDQ2242549

Victoriano Carmona, Fernando Fernández-Sánchez

Publication date: 9 November 2021

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

Full work available at URL: https://arxiv.org/abs/1910.13431

zbMATH Keywords

inverse integrating factorsPoincaré half-mapspiecewise planar linear systems

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) Discontinuous ordinary differential equations (34A36)

Related Items (6)

The global dynamics of linear refracting systems of focus-node or center-node type ⋮ Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region ⋮ A succinct characterization of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness ⋮ On partial maps derived from flows ⋮ Bifurcation of Limit Cycles from Boundary Equilibria in Impacting Hybrid Systems ⋮ Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line

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