Braga, Denis de CarvalhoCarvalho, Tiago [UNESP]Mello, Luis Fernando2018-11-262018-11-262017-08-01Ima Journal Of Applied Mathematics. Oxford: Oxford Univ Press, v. 82, n. 4, p. 849-863, 2017.0272-4960http://hdl.handle.net/11449/163118In this article, we study limit cycles in discontinuous piecewise linear vector fields in R-2 and R-3. More precisely, we address the problem of understanding the dynamics around a degenerated two-fold singularity in R-2 and R-3, where it is also called T-singularity, which behave as discontinuous centres after suitable perturbations of the separation boundaries. We prove that, in both systems, it is possible to obtain k hyperbolic limit cycles bifurcating from these discontinuous centres, for any positive integer k. The same holds if k is infinity.849-863engbifurcationlimit cyclenon-smooth vector fieldT-singularitytwo-fold singularityArtigo10.1093/imamat/hxx017WOS:000407267000009Acesso abertoWOS000407267000009.pdf