论文标题
绘制2-D地图的1-D稳定歧管，而无需逆
Sketching 1-D stable manifolds of 2-D maps without the inverse
论文作者
论文摘要
马鞍固定点是系统中复杂动力学的核心。这些鞍点的一维稳定和不稳定的流形对于理解这种系统的动力学至关重要。虽然素描不稳定的歧管的问题很简单，但绘制稳定的歧管并不那么容易。存在几种算法来计算马鞍点的稳定多种流形，但是它们有局限性，尤其是当系统不可逆转时。在本文中，我们提出了一种新算法，以计算二维系统的稳定歧管，该算法也可以用于非可变系统。概述算法的逻辑后，我们在几个示例中演示了该算法的输出。
Saddle fixed points are the centerpieces of complicated dynamics in a system. The one-dimensional stable and unstable manifolds of these saddle-points are crucial to understanding the dynamics of such systems. While the problem of sketching the unstable manifold is simple, plotting the stable manifold is not as easy. Several algorithms exist to compute the stable manifold of saddle-points, but they have their limitations, especially when the system is not invertible. In this paper, we present a new algorithm to compute the stable manifold of 2-dimensional systems which can also be used for non-invertible systems. After outlining the logic of the algorithm, we demonstrate the output of the algorithm on several examples.
