On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems

DOI10.1016/j.amc.2015.09.022zbMath1410.37052OpenAlexW1768757124MaRDI QIDQ1732197

Jaume Llibre, Márcio R. Alves Gouveia, Douglas Duarte Novaes

Publication date: 22 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/172107

zbMATH Keywords

limit cyclediscontinuous differential systemdisplacement functionpiecewise linear differential systeminfinite periodic orbit

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones, Piecewise smooth dynamical systems: persistence of periodic solutions and normal forms, Limit cycles of generic piecewise center-type vector fields in \(\mathbb{R}^3\) separated by either one plane or by two parallel planes, Bifurcation of limit cycles at infinity in a class of switching systems, Unnamed Item, Averaging theory at any order for computing limit cycles of discontinuous piecewise differential systems with many zones, The solution of the second part of the 16th Hilbert problem for nine families of discontinuous piecewise differential systems, Limit cycles from a monodromic infinity in planar piecewise linear systems, Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields, The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line

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