Lomelí Héctor E, Calleja Renato
Department of Mathematics, Instituto Tecnológico Autónomo de México ITAM, Río Hondo #1, México DF 01000.
Chaos. 2006 Jun;16(2):023117. doi: 10.1063/1.2179647.
We study a two-parameter family of standard maps: the so-called two-harmonic family. In particular, we study the areas of lobes formed by the stable and unstable manifolds. Variational methods are used to find heteroclinic orbits and their action. A specific pair of heteroclinic orbits is used to define a difference in action function and to study bifurcations in the stable and unstable manifolds. Using this idea, two phenomena are studied: the change of orientation of lobes and tangential intersections of stable and unstable manifolds.
即所谓的双调和族。特别地，我们研究由稳定和不稳定流形形成的叶瓣的面积。使用变分方法来寻找异宿轨道及其作用量。利用一对特定的异宿轨道来定义作用量函数的差值，并研究稳定和不稳定流形中的分岔。基于这一思路，研究了两种现象：叶瓣方向的变化以及稳定和不稳定流形的切向相交。
