Artículos de revistas
On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
Date
2015-04-01Registration in:
International Journal Of Bifurcation And Chaos, v. 25, n. 4, p. 13, 2015.
0218-1274
10.1142/S0218127415500595
WOS:000353953500015
3724937886557424
0000-0001-6790-1055
Author
Universidade Federal do ABC (UFABC)
Universidade Estadual Paulista (Unesp)
Institutions
Abstract
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map, they proved that this class admits always a unique limit cycle, which is hyperbolic. The class studied in [Lima &Llibre, 2012] belongs to a larger set of planar continuous piecewise linear vector fields with three zones that can be separated into four other classes. Here, we consider some of these classes and we prove that some of them always admit a unique limit cycle, which is hyperbolic. However we find a class that does not have limit cycles.