We study in this article a special dynamical behavior of geodesic flow on T2.Our example shows that there is an area-preserving monotone twist map for which all minimal periodic orbits can be connected,and at the same...We study in this article a special dynamical behavior of geodesic flow on T2.Our example shows that there is an area-preserving monotone twist map for which all minimal periodic orbits can be connected,and at the same time for a certain rational rotation number the minimal set is almost an invariant curve.展开更多
基金This work was supported by the National Natural Science Foundation of China (Grant No.10070136).
文摘We study in this article a special dynamical behavior of geodesic flow on T2.Our example shows that there is an area-preserving monotone twist map for which all minimal periodic orbits can be connected,and at the same time for a certain rational rotation number the minimal set is almost an invariant curve.
