Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles

DOI10.1016/j.nonrwa.2020.103281zbMath1468.34021OpenAlexW3127793984MaRDI QIDQ2025885

Claudio Vidal, Maria Elisa Anacleto, Jaume Llibre, Claudia Valls

Publication date: 17 May 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103281

zbMATH Keywords

limit cyclesfirst integralscontinuous piecewise linear differential systemsdiscontinuous piecewise differential systemslinear centers

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) 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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Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems, On the number of limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical point

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