Discontinuous bifurcations of periodic solutions

By Remco I. Leine, D. H. Campen. 2002

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Limit cycles in planar piecewise linear differential systems with nonregular separation line (2016, background): “The question is: Which is the maximum number of isolated periodic orbits, also called limit cycles, that bifurcate perturbing a center? This problem for piecewise differential systems defined in two zones have been studied recently, among other papers, in [5, 7, 17, 18, 19, 22, 25, 26, 32].”
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].”
Piecewise linear perturbations of a linear center (2013, background): “Limit cycles of discontinuous piecewise linear differential systems defined on two half-planes separated by a straight line have been studied recently in [5, 16, 17, 18, 21, 22], among other papers.”