Introduction to the application of the dynamical systems theory in the study of the dynamics of cosmological models of dark energy

Autor:	García-Salcedo, Ricardo, Gonzalez, Tame, Horta-Rangel, Francisco A., Quiros, Israel, Sanchez-Guzmán, Daniel
Rok vydání:	2015
Předmět:	General Relativity and Quantum Cosmology Astrophysics - Cosmology and Nongalactic Astrophysics Mathematics - Dynamical Systems Physics - Physics Education 83F05 Cosmology 97C90
Zdroj:	Eur. J. Phys. 36 (2015) 025008
Druh dokumentu:	Working Paper
DOI:	10.1088/0143-0807/36/2/025008
Popis:	The theory of the dynamical systems is a very complex subject which has brought several surprises in the recent past in connection with the theory of chaos and fractals. The application of the tools of the dynamical systems in cosmological settings is less known in spite of the amount of published scientific papers on this subject. In this paper a -- mostly pedagogical -- introduction to the application in cosmology of the basic tools of the dynamical systems theory is presented. It is shown that, in spite of their amazing simplicity, these allow to extract essential information on the asymptotic dynamics of a wide variety of cosmological models. The power of these tools is illustrated within the context of the so called $\Lambda$CDM and scalar field models of dark energy. This paper is suitable for teachers, undergraduate and postgraduate students from physics and mathematics disciplines. Comment: 15 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.04851 Zobrazit plný text záznamu View this record from Arxiv