标题： 宇宙动力系统 显示英文标题

标题： Cosmological dynamical systems

摘要： 从动力系统的角度，本书研究了几个宇宙模型。 在第一章中，我们对宇宙学和宇宙学问题进行了概述。 第二章专门回顾了动力系统定性理论的一些结果和有用工具。 它们为具体宇宙学模型的定性研究提供了理论基础。 第一章和第二章是对已知结果的综述。 第三章、第四章、第五章和第六章致力于我们的主要结果。 在这些章节中，一些由我们其中一人在arXiv:0812.1013 [gr-qc]; arXiv:1009.0689 [gr-qc]; arXiv:0904.1577[gr-qc]; 和 arXiv:0909.3571 [hep-th] 中获得的结果被以一种实质性不同且更严格的数学语言进行了扩展和解决。 在第六章中，我们提供了一种不同的方法来讨论astro-ph/0503478中讨论的主题。 此外，我们进行了一种庞加莱紧化过程，使得可以构建一个全局相空间，该空间包含所有模型在有限和无限区域内的所有宇宙学信息。 显示英文摘要

摘要： In this book are studied, from the perspective of the dynamical systems, several Universe models. In chapter 1 we give a bird's eye view on cosmology and cosmological problems. Chapter 2 is devoted to a brief review on some results and useful tools from the qualitative theory of dynamical systems. They provide the theoretical basis for the qualitative study of concrete cosmological models. Chapters 1 and 2 are a review of well-known results. Chapters 3, 4, 5 and 6 are devoted to our main results. In these chapters are extended and settled in a substantially different, more strict mathematical language, several results obtained by one of us in arXiv:0812.1013 [gr-qc]; arXiv:1009.0689 [gr-qc]; arXiv:0904.1577[gr-qc]; and arXiv:0909.3571 [hep-th]. In chapter 6, we provide a different approach to the subject discussed in astro-ph/0503478. Additionally, we perform a Poincar\'e compactification process allowing to construct a global phase space containing all the cosmological information in both finite and infinite regions for all the models.