Akhmet, M. U.Turan, M.Mathematics2024-07-052024-07-05200950362-546X1873-521510.1016/j.na.2009.03.0712-s2.0-72149125335https://doi.org/10.1016/j.na.2009.03.071https://hdl.handle.net/20.500.14411/1522Akhmet, Marat/0000-0002-2985-286X; Turan, Mehmet/0000-0002-1718-3902We consider three-dimensional discontinuous dynamical systems with non-fixed moments of impacts. Existence of the center manifold is proved for the system. The result is applied for the extension of the planar Hopf bifurcation theorem [M.U. Akhmet, Perturbations and Hopf bifurcation of the planar discontinuous dynamical system, Nonlinear Analysis 60 (2005) 163-178]. Illustrative examples are constructed for the theory. (C) 2009 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessImpulsive differential equationsHopf bifurcationThe center manifoldArticleQ1Q27112E2090E2102WOS:000277952800121