具二阶细焦点的周期扰动系统在强共振下的不变环面分支  

The Bifurcation of Invariant Torus of a Class of Periodic Perturbed System with two Orders of Local focus

作　　者：卓相来 

出　　处：《山东矿业学院学报》1998年第1期103-109,共7页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：山东省自然科学基金

摘　　要：用积分流形理论研究平面周期扰动系统，在强共振下获得了从二阶细焦点分支出不变环面的条件并给出应用例子。In this paper, by using the theory of integral manifold we discuss the plane periodic perturbed system and get the condition to guarantee the existence of invariant torus bifurcated from the two orders of local focus, furthermore, we also give some examples to verify our result.

关 键 词：不变环面 积分流形 周期扰动系统 二阶细焦点 

分 类 号：O175.13[理学—数学]