Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane

By Denis Carvalho Braga, L. F. Mello. 2013

110 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/bc0da17967cc89c8e23437e8ffe52981d050deb5

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Citations in the corpus

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line (2014, unknown): “Later on other authors obtained also three limit cycles for those differential systems following different ways, see the papers of Braga and Mello [4], of Buzzi, Pessoa and Torregrosa [5], and of Freire, Ponce and Torres [9].”
Maximum number of limit cycles for certain piecewise linear dynamical systems (2015, background): “Of course, limit cycles of discontinuous piecewise linear differential systems with two zones separated by a straight line have been studied recently by several authors, see among others [2, 8, 10, 12, 14, 15, 17, 18, 19, 25, 26, 27, 28].”
Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center (2018, background): “There are examples of such systems exhibiting three limit cycles, see [5, 6, 10, 12, 17, 20], and at this moment we do not know if discontinuous piecewise linear differential systems separated by a straight line can have more than three limit cycles.”
Piecewise linear differential systems with only centers can create limit cycles? (2017, background): “It is known that such systems can have three limit cycles, see [4,5,9,11,14,16].”
Uniqueness of limit cycles for sewing planar piecewise linear systems (2015, background): “Recently, examples of piecewise linear systems with a sliding segment that present two and three limit cycles are provided, see among others [3, 13, 14, 15] and [5, 7, 19], respectively.”