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Dynamical systems in dark energy models

Tamanini, N; (2014) Dynamical systems in dark energy models. Doctoral thesis , UCL (University College London). Green open access

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Abstract

This PhD thesis is devoted to the study of dynamical systems appearing in theoretical models of dark energy. The quest for understanding the origin of the observed cosmic acceleration has led physicists to advance a large number of phenomenological explanations based on different fundamental theories. The best approach to analyse the background cosmological impli- cations of all these models consists in employing dynamical systems tech- niques. In this thesis, after reviewing elements of dynamical systems theory and basic cosmology, several dynamical systems, which arise in dark energy models ranging from scalar fields to modified gravity, will be studied using both analytical and numerical methods. The work is organised in order to present as many details as possible for the simpler and well known models, while outlining major results and referring to the literature for the less stud- ied ones. This choice aims at providing the reader with a complete overview and summary of dynamical systems in dark energy applications.

Type: Thesis (Doctoral)
Title: Dynamical systems in dark energy models
Open access status: An open access version is available from UCL Discovery
Language: English
Keywords: Dynamical systems, Cosmology, Dark energy
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Maths and Physical Sciences
URI: http://discovery.ucl.ac.uk/id/eprint/1456304
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