@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},
}
Loading...