关键词: 快变振荡系统；局部坐标系；同宿轨道；Poincaré映射；分支

Abstract:

This paper considers homoclinic bifurcation of the system s with  angular variable in fast oscillation.  By establishing the whole Poincar é map,the authors  discuss the persistence of homoclinic orbits and the existe nce of periodic orbit bifurcated from it.  Some known results are extended

Key words: Fast oscillated system; , Local coordinate system, Homocl inic orbit, Poincaré, map; , Bifurcation