304 citations · 2.8k across the 107 of their papers we have counts for
14 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…
Cosmological zoo -- accelerating models with dark energy
Marek Szydlowski
ecent observations of type Ia supernovae indicate that the Universe is in an accelerating phase of expansion. The fundamental quest in theoretical cosmology is to identify the orig…
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…
Phantom cosmology as a scattering process
Marek Szydlowski, Orest Hrycyna, Adam Krawiec
We study the general chaotic features of dynamics of the phantom field modelled in terms of a single scalar field conformally coupled to gravity. We demonstrate that the dynamics o…
Towards observational constraints on negative (1+z)^4 type contribution in the Friedmann equation
Wlodzimierz Godlowski, Marek Szydlowski
We discuss certain issues related to the limitations of density parameters for a ``radiation''-like contribution to the Friedmann equation using kinematical or geometrical measurem…
Top ten accelerating cosmological models
Marek Szydlowski, Aleksandra Kurek, Adam Krawiec
Recent astronomical observations indicate that the Universe is presently almost flat and undergoing a period of accelerated expansion. Basing on Einstein's general relativity all t…
Fomin's conception of quantum cosmogenesis
Marek Szydlowski, Jacek Golbiak
The main aim of this paper is to extend the early approach to quantum cosmogenesis provided by Fomin. His approach was developed independently to the well-known Tryon description o…
Testing and selection cosmological models with dark energy
Marek Szydlowski, Aleksandra Kurek
It is described dynamics of a large class of accelerating cosmological models in terms of dynamical systems of the Newtonian type. The evolution of the models is reduced to the mot…
Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
Andrzej Borowiec, Wlodzimierz Godlowski, Marek Szydlowski
Recent supernovae of type Ia measurements and other astronomical observations suggest that our universe is in accelerating phase of evolution at the present epoch. While a dark ene…
Dissipative or Conservative cosmology with dark energy ?
Marek Szydlowski, Orest Hrycyna
All evolutional paths for all admissible initial conditions of FRW cosmological models with dissipative dust fluid (described by dark matter, baryonic matter and dark energy) are a…