Some bifurcation methods of finding limit cycles.
In this paper we outline some methods of finding limit cycles for planar autonomous systems with small parameter perturbations. Three ways of studying Hopf bifurcations and the method of Melnikov functions in studying Poincare bifurcations are introduced briefly. A new method of stability- changing in studying homoclinic bifurcation is described along with some interesting applications to polynomial systems.
Han
Maoan
M
Department of Mathematics, Shanghai Normal University, Guilin Rd. 100, Shanghai, 200234 PR China. mahan@sjtu.edu.cn.
Zhang
Tonghua
T