Global algebraic Poincaré–Bendixson annulus for the Rayleigh equation

DOI10.14232/EJQTDE.2023.1.35MaRDI QIDQ6077777

Klaus R. Schneider, Alexander Grin

Publication date: 26 September 2023

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

zbMATH Keywords

limit cycleRayleigh equationDulac-Cherkas functionPoincaré-Bendixson annulustopologically equivalent Rayleigh systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

This page was built for publication: Global algebraic Poincaré–Bendixson annulus for the Rayleigh equation