Artículos de revistas
Limit cycles in 4-star-symmetric planar piecewise linear systems
Fecha
2020-02-15Registro en:
Journal Of Differential Equations. San Diego: Academic Press Inc Elsevier Science, v. 268, n. 5, p. 2414-2434, 2020.
0022-0396
10.1016/j.jde.2019.09.008
WOS:000504930400019
6682867760717445
0000-0003-2037-8417
Autor
Universidade Estadual Paulista (Unesp)
Universidade Federal de Goiás (UFG)
Univ Autonoma Barcelona
Institución
Resumen
Our interest is centered in the study of the number of limit cycles for nonsmooth piecewise linear vector fields on the plane when the switching curve is xy=0. We consider the symmetric case. That is, one vector field defined in the odd quadrants and the other in the even ones. We deal with equilibrium points of center-focus type, with matrices in real Jordan form, in each vector field when the infinity is monodromic. In this case, we provide the center classification at infinity, we prove that the maximum order of a weak focus is five. Moreover, we show the existence of systems exhibiting five limit cycles bifurcating from infinity. (C) 2019 Elsevier Inc. All rights reserved.