A Bendixon–Dulac theorem for some piecewise systems

DOI10.1088/1361-6544/ab6812zbMath1491.34029OpenAlexW3011966689MaRDI QIDQ5019844

Leonardo P. C. da Cruz, Joan Torregrosa

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ab6812

zbMATH Keywords

piecewise vector fielduniqueness of limit cycleBendixson-Dulac theory

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items (4)

On the Poincaré-Bendixson formula for planar piecewise smooth vector fields ⋮ On the Poincaré-Bendixson index theorem for a class of piecewise linear differential systems ⋮ Limit cycles and bifurcations in a class of planar piecewise linear systems with a nonregular separation line ⋮ Limit cycles of piecewise differential equations on the cylinder

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