On the Number of Limit Cycles of Planar Piecewise Smooth Quadratic Systems with Focus-Parabolic Type Critical Point

Bifurcation of Limit Cycles from a Focus-Parabolic-Type Critical Point in Piecewise Smooth Cubic Systems

“…Sun and Du proved in [30] that at least six limit cycles can bifurcate from a weak center and at least nine limit cycles can bifurcate from a weak focus in a planar PWS quadratic system with one switching line. This result improved to ten in [13]. In [18], Novaes and Silva investigated a PWS quadratic system with a PP-type critical point that has five limit cycles bifurcated from (0, 0).…”

“…The number of limit cycles for a class of planar PWS systems formed by the center and separated by two circles was investigated by Anacleto et al in [12]. Furthermore, in [13], Zhang and Du studied the number of limit cycles of planar PWS systems bifurcated from the center and weak focus. In the last decade, people began to become interested in the study of pseudo-Hopf bifurcation, which creates a sliding segment and an additional hyperbolic limit cycle.…”