Local And Global Bifurcation Of A Class Of Differential System Of Order N

This paper includes three chapters. The first chapter is overview, in which we introduce the qualitative theory and bifurcation theory and their developing status. In the second chapter, we deal with the global of systemBy virtue of the abundant results of Lienard equation, integrated with the theory of rotated vector field, we discussed of the number and distribution of limit cycles of the system and obtain its global structure.In the third section is concern with the local bifurcation of the systemby the method of Melnikov function, we give a M function(or judgment function) and gain some properties of the function, from which we obtain its local structure.