Dynamical system analysis of quintessence

An alternative to the standard model of cosmology ( $\Lambda\mathrm{CDM}$ ) is built from scalar-field models of dark energy. The stability of radiation–matter–quintessence models is analysed with symbolic methods (SymPy and Mathematica) and numerical ones (NumPy and SciPy), and the trajectories in phase space are visualized with Matplotlib.

The graduation project at Istanbul Technical University: Dynamical system analysis of quintessence models. The ΛCDM note works through the simplest case.

Phase space of the matter, radiation and Lambda model — Phase space of the matter–radiation–Λ system, the baseline the quintessence models are compared with.