113 citations · 837 across the 28 of their papers we have counts for
10 papers · 1 filter
Global dynamics of cosmological scalar fields -- Part I
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois gr…
Paths of Friedmann-Robertson-Walker brane models
Marek Szydlowski, Orest Hrycyna
Dynamics of brane-world models of dark energy is reviewed. We demonstrate that simple dark energy brane models can be represented as 2-dimensional dynamical systems of a Newtonian…
Exact solutions in bouncing cosmology
Tomasz Stachowiak, Marek Szydlowski
We discuss the effects of a (possibly) negative type contribution to the Friedmann equation. No definite answer can be given as to the presence and magnitude of a particu…
On Capital Dependent Dynamics of Knowledge
Marek Szydlowski, Adam Krawiec
We investigate the dynamics of growth models in terms of dynamical system theory. We analyse some forms of knowledge and its influence on economic growth. We assume that the rate o…
Towards classification of simple dark energy cosmological models
Marek Szydlowski, Aleksandra Kurek
We characterize a class of simple FRW models filled by both dark energy and dark matter in notion of a single potential function of the scale factor ; is the cosmological…
Dark matter and dark energy as a effects of Modified Gravity
Andrzej Borowiec, Wlodzimierz Godlowski, Marek Szydlowski
We explain the effect of dark matter (flat rotation curve) using modified gravitational dynamics. We investigate in this context a low energy limit of generalized general relativit…