论文标题
生长和广义熵的顺序
Orders of Growth and Generalized Entropy
论文作者
论文摘要
我们构建了一组完整的增长顺序，并在其上定义了动态系统的广义熵。使用此对象，我们提供了一个框架，我们可以在指数级增长的范围之外研究地图的轨道分离。我们将表明，这种结构对于研究具有消失熵的动态系统家族特别有用。此外，我们将看到，轨道分离的增长秩序空间比预期的荒野。这将通过不同类型的示例来实现。
We construct the complete set of orders of growth and we define on it the generalized entropy of a dynamical systems. With this object we provide a framework where we can study the separation of orbits of a map beyond the scope of exponential growth. We are going to show that this construction is particularly useful to study families of dynamical systems with vanishing entropy. Moreover, we are going to see that the space of orders of growth in which orbits are separated is wilder than expected. This is going to be achieved with different types of examples.
