304 citations · 2.8k across the 107 of their papers we have counts for
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Dynamical System Approach to Cosmological Models with a Varying Speed of Light
Marek Szydlowski, Adam Krawiec
Methods of dynamical systems have been used to study homogeneous and isotropic cosmological models with a varying speed of light (VSL). We propose two methods of reduction of dynam…
Brane universes tested against astronomical data
Mariusz P. Dabrowski, Wlodzimierz Godlowski, Marek Szydlowski
We discuss observational constrains coming from supernovae imposed on the behaviour of the Randall-Sundrum models. The data indicates that, under the assumption that we admit zero…
Kovalevski exponents and integrability properties in class A homogeneous cosmological models
Marek Szydlowski, Marek Biesiada
Qualitative approach to homogeneous anisotropic Bianchi class A models in terms of dynamical systems reveals a hierarchy of invariant manifolds. By calculating the Kovalevski Expon…
Brane universes tested by supernovae
Mariusz P. Dabrowski, Wlodzimierz Godlowski, Marek Szydlowski
We discuss observational constrains coming from supernovae Ia \cite{Perlmutter99} imposed on the behaviour of the Randall-Sundrum models. In the case of dust matter on the brane, t…
Simple Dynamics on the Brane
Marek Szydlowski, Mariusz P. Dabrowski, Adam Krawiec
We apply methods of dynamical systems to study the behaviour of the Randall-Sundrum models. We determine evolutionary paths for all possible initial conditions in a 2-dimensional p…