论文标题
表面上摩尔斯 - 摩尔分歧的多项式熵
Polynomial entropy of Morse-Smale diffeomorphisms on surfaces
论文作者
论文摘要
动态系统中的一个经典问题是根据其轨道来衡量地图的复杂性。我们必须实现此目标的主要工具之一是熵。但是，动态系统的许多有趣家族都具有零透镜的每个元素。所述家庭之一是莫尔斯 - 摩尔的差异性。第一作者和E. Pujals介绍了广义熵的概念，该熵扩展了经典的熵概念。在这项工作中，我们计算了表面上摩尔斯 - 摩尔分歧的广义熵。
A classical problem in dynamical systems is to measure the complexity of a map in terms of their orbits. One of the main tools we have to achieve this goal is entropy. However, many interesting families of dynamical systems have every element with zero-entropy. One of said families are the Morse-Smale diffeomorphisms. The first author and E. Pujals introduced the concept of generalized entropy that extends the classical notion of entropy. In this work, we compute the generalized entropy of Morse-Smale diffeomorphisms on surfaces.
