BIFURCATION OF LIMIT CYCLES IN A FAMILY OF PIECEWISE SMOOTH SYSTEMS VIA AVERAGING THEORY

摘要

In this paper we study the maximal number of limit cycles for a class of piecewise smooth near-Hamiltonian systems under polynomial pertur- bations. Using the second order averaging method, we obtain the maximal number of limit cycles of two systems respectively. We also present an appli- cation.