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IMI/Publicaţii/BASM/Ediţii/BASM n.2(90), 2019/

Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line

Authors: Jaume Llibre

Abstract

This paper is a survey on the study of the maximum number of limit cycles of planar continuous and discontinuous piecewise linear differential systems defined in two half–planes separated by a straight line L. We restrict our attention to the crossing limit cycles, i.e. to the limit cycles having exactly two points on the straight line L. We summarize the results known by now and describe the tools for obtaining them.

Departament de Matem` atiques,
Universitat Aut` onoma de Barcelona,
08193 Bellaterra, Barcelona,
Catalonia, Spain
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