论文标题
单调扭曲图的无限过渡轨道的变化结构
Variational structures for infinite transition orbits of monotone twist maps
论文作者
论文摘要
在本文中，我们考虑了区域保护图的混乱动力和变分结构。关于其地图的动态有很多研究，Poincare和Birkhoff的作品是众所周知的。为了考虑区域保护地图的变分结构，我们定义了一类特殊的保护区域地图，称为单调扭曲图。根据扭曲图确定的变分结构可用于构建扭曲图的特征轨迹。我们的目标是定义各种结构，例如通过最小化方法提供无限的过渡轨道。
In this paper, we consider chaotic dynamics and variational structures of area-preserving maps. There is a lot of study on dynamics of their maps and the works of Poincare and Birkhoff are well-known. To consider variational structures of area-preserving maps, we define a special class of area-preserving maps called monotone twist maps. Variational structures determined from twist maps can be used for constructing characteristic trajectories of twist maps. Our goal is to define the variational structure such as giving infinite transition orbits through minimizing methods.
