Aubry-Mather集的逼近性质  

The Approximate Properties of Aubry-Mather Sets

作　　者：郭艳慧[1] 

机构地区：[1]苏州科技学院应用数学系,江苏苏州215009

出　　处：《苏州科技学院学报（自然科学版）》2007年第2期16-19,共4页Journal of Suzhou University of Science and Technology （Natural Science Edition）

摘　　要：研究了S1×R上的保面积单调扭转映射f的不变集Aubry-Mather集,给出了在一定条件下Aubry-Mather集与f的一类周期点之间的逼近性质,这对于进一步研究高维Hamilton系统的动力学行为是极其有益的。In this paper, the author has mainly studied the invariant sets called Aubry-Mather sets of an exact area-preserving monotone twist map of the annulus S^1xR and proved the approximate properties between the Aubry-Mather sets and the periodic points of f under some conditions. This result is very useful for a further study of Hamilton systems of higher dimension.

关 键 词：保面积扭转映射 AUBRY-MATHER集 遍历测度 

分 类 号：O193[理学—数学]