【摘 要】
：
Herman constructed an autonomous system of two degrees of freedom which says that in non-convex situations, oscillations do happen and Aubry-Mather Theory canno
【机 构】
：
Department of Mathematics
【基金项目】
：
the Graduate Student Research Fellowship of Jiangsu Province of China
论文部分内容阅读
Herman constructed an autonomous system of two degrees of freedom which says that in non-convex situations, oscillations do happen and Aubry-Mather Theory cannot apply (see the results due to W. F. Chen in 1992). In this paper, it is shown that although the orbits could visit a region far away from the initial point in phase space, they can only exist in some fixed regions in I = (I1, I2) plane. Moreover, Aubry-Mather Theory can be applied outside the regions.
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