Poincare截面法的发展：四维流动的三维断面的显示
Development of the Poincare cross-section method: Visualization the three-dimensional sections of four-dimensional flows
摘要：
本文的主题是应用Poincare截面法对四维相空间中的吸引子进行可视化分类;研究的目的是引入三维Poincare截面的考虑，并发展一种算法，用于按吸引子类型对四维流进行分类。本文包含了在三维庞加莱截面中得到的4D吸引子的迹线，让你对它们的拓扑结构有一个大概的了解，以及对其进行初步的分类。重要的是，在文章中讨论的模型是制定为通用的，它允许一个研究系统的演变（如果它们可以描述为迭代方程）组成的子系统相互作用沿任意的法律。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
