Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems

DOI10.4171/rmi/1131zbMath1441.34029arXiv1801.01730OpenAlexW2989681338MaRDI QIDQ2177521

Jaume Llibre, Iris O. Zeli, Douglas Duarte Novaes

Publication date: 6 May 2020

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01730

zbMATH Keywords

limit cycleperiodic orbitaveraging methodFilippov systempolynomial differential systemnonsmooth dynamical systemnonsmooth polynomial differential 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) Averaging method for ordinary differential equations (34C29) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles

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