@article{ddd.uab.cat:275499,
author = {Jimenez Ruiz, Jeidy Johana and Llibre, Jaume and Medrado, Joao
Carlos},
title = {On the crossing limit cycles for piecewise linear differential
systems separated by a straight line and having symmetric
equilibrium points},
journal = {Dynamics of continuous, discrete and impulsive systems},
year = {2022},
volume = {29},
number = {4b},
pages = {253--283},
abstract = {In this paper we study the maximum number of crossing limit
cycles that can have the planar piecewise linear differential
systems separated by a straight line Σ and formed by two linear
differential systems X−, X+ which singularities are symmetrical
with respect to the straight line of discontinuity Σ. More
precisely, the singularities points of the linear differential
systems X−, X+ considered can be a center (C), a focus (F), a
diagonalizable node (N), an improper node (iN) or a saddle (S),
which can be real or virtual. Then we have fourteen cases
depending of the type and the position of the singularities of
X− and X+. Here we provide lower or upper bounds for the
maximum number of crossing limit cycles for each case.},
url = {https://ddd.uab.cat/record/275499},
}