The Number Of Limit Cycles Around The Singularity Of A Class Of Planar Cubic Polynomial Switching Systems

In this thesis,we obtain a lower bound for the maximum number of crossing limit cycles for cubic planar switching systems with two regions separated by a straight line.By pseudo Hopf bifurcation and -order Lyapunov constants,we prove that there exist cubic near-integrable switching systems with at least 26 small-amplitude limit cycles bifurcating from an elementary center after suitable perturbations.