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17 p, 673.1 KB On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line / D. Euzébio, Rodrigo (IBILCE(Brazil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 ≤ N ≤ 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.
2015 - 10.1016/j.jmaa.2014.10.077
Journal of mathematical analysis and applications, Vol. 424 (2015) , p. 475-486  

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