Dynamical systems in cosmology

Abstract

Cosmology is a well established research area in physics while dynamical systems are well established in mathematics. It turns out that dynamical system techniques are very well suited to study many aspects of cosmology. The aim of this book chapter is to provide the reader with a concise introduction to both cosmology and dynamical system. The material is self-contained with references to more detailed work. It is aimed at applied mathematics and theoretical physics graduate level students who have an interest in this exciting topic.

29 pages, 9 figures, lecture notes; v2 reference added and some typos fixed

References in corpus (4)

• Dynamics of dark energy
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Dynamics of dark energy with a coupling to dark matter
• The Jungle Universe

Cited by in corpus (18)

• Selected topics in scalar-tensor theories and beyond
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• Dynamical system analysis in teleparallel gravity with boundary term
• A model independent approach to the study of $f(R)$ cosmologies with expansion histories close to $\Lambda$CDM
• Dynamical systems of modified Gauss-Bonnet gravity: cosmological implications
• Stability analysis of f(Q) gravity models using dynamical systems
• Light bending in a two black hole metric
• A transition between bouncing hyper-inflation to ΛCDM from diffusive scalar fields
• Phase Space description of Nonlocal Teleparallel Gravity
• Tracing cosmic evolution through Weyl-Type f(Q,T) gravity model: theoretical analysis and observational validation
• Observational constrained Weyl type $f(Q,T)$ gravity cosmological model and the dynamical system analysis
• Cosmological fluids with boundary term couplings
• Accelerating behavior from dynamical system analysis parameters
• Relevant scales for the $C$-metric with positive cosmological constant
• Generalised matter couplings in general relativity
• Dynamical Compactification with Matter
• Analytic Solutions of Scalar Field Cosmology, Mathematical Structures for Early Inflation and Late Time Accelerated Expansion
• Dynamical-System analysis of single-axion monodromy inflation with periodically-modulated potentials