Cyclicity near infinity in piecewise linear vector fields having a nonregular switching line

DOI10.1007/s12346-023-00817-9zbMath1525.34040OpenAlexW4381250407MaRDI QIDQ6157804

Jéfferson L. R. Bastos, Claudio A. Buzzi, Joan Torregrosa

Publication date: 22 June 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00817-9

zbMATH Keywords

center-focus problemnonsmooth boundarylocal cyclicitypiecewise linear planar vector fields

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) Linear ordinary differential equations and systems (34A30) 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)

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