【摘要】 该文研究带有角变量的快变振荡系统的同宿轨道分支问题,通过建立完整的Poincaré映射,讨论其同宿轨道在小扰动下的保存性,并进一步研究其分支出周期轨道的情况,推广和改进了一些文献的结果.更多还原

【Abstract】 This paper considers homoclinic bifurcation of the systems with angular variable in fast oscillation. By establishing the whole Poincaré map, the authors discuss the persistence of homoclinic orbits and the existence of periodic orbit bifurcated from it. Some known results are extended.更多还原