Limit cycle bifurcation of center in a class of piecewise smooth quadratic systems

Abstract:

In this paper, we consider the number of limit cycles bifurcated from the weak center of a class of piecewise smooth quadratic systems of focus-parabolic type. It is well known that these systems process five center conditions. Taking one of the center conditions as an example, we show that at least 6 limit cycles can bifurcate from the center by perturbing the system parameters up to the order of 8, thus improve the corresponding results.