Geodesic
Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2019), pp. 3-12

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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. 
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     author = {Jaume Llibre},
     title = {Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {3--12},
     publisher = {mathdoc},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2019_2_a0/}
}
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Jaume Llibre. Limit cycles in continuous and discontinuous piecewise linear differential systems with two pieces separated by a straight line. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2019), pp. 3-12. http://geodesic.mathdoc.fr/item/BASM_2019_2_a0/