论文标题
繁殖横截面方法的开发：可视化四维流的三维部分
Development of the Poincare cross-section method: Visualization the three-dimensional sections of four-dimensional flows
论文作者
论文摘要
本文的主题是在四维相位空间中使用Poincare部分方法的吸引子视觉分类的应用；该研究的目的是介绍对三维庞加利部分的考虑，并开发出一种算法，用于通过吸引子的类型来分类四维流。该文章包含在4D吸引子的三维繁殖部分轨迹中获得的，使您可以了解它们的拓扑结构，并进行主要分类。重要的是，文章中讨论的模型被表述为通用，该模型允许人们研究系统的发展（如果可以描述的迭代方程式），该模型由符合任意定律相互作用的子系统组成。
The theme of the article is the application of the Poincare section method for visual classification of attractors in the four-dimensional phase space; the purpose of the study is to introduce consideration of three-dimensional Poincare sections, and develop an algorithm for their use for classification of four-dimensional flows by the type of attractors. The article contains the obtained in three-dimensional Poincare sections traces of 4D attractors, allowing you to get an idea of their topology, as well as to conduct their primary classification. It is important that the model discussed in the article is formulated as universal, which allows one to study the evolution of systems (if they can be described iterative equations) consisting of subsystems interacting along arbitrary laws.
