论文标题
使用盆地熵对吸引力的盆地进行分类
Classifying basins of attraction using the basin entropy
论文作者
论文摘要
吸引力的盆地代表了导致给定动力学系统的特定渐近状态的一组初始条件。在这里，我们提供了借助盆地熵的帮助，对非线性动力学中最常见的盆地进行了分类。我们还发现了盆地熵与用于表征与吸引盆地相关的不可预测性的其他措施之间的有趣连接，例如不确定性指数，间隙或与WADA属性相关的其他不同参数。
A basin of attraction represents the set of initial conditions leading to a specific asymptotic state of a given dynamical system. Here, we provide a classification of the most common basins found in nonlinear dynamics with the help of the basin entropy. We have also found interesting connections between the basin entropy and other measures used to characterize the unpredictability associated to the basins of attraction, such as the uncertainty exponent, the lacunarity or other different parameters related to the Wada property.
