55 citations · 608 across the 31 of their papers we have counts for
16 papers · 1 filter
On the structural stability of a simple cosmological model in theory of gravity
Orest Hrycyna
The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. The simplest Friedmann--Robertson--Walker metric is empl…
A new generic and structurally stable cosmological model without singularity
Orest Hrycyna
Dynamical systems methods are used to investigate a cosmological model with non-minimally coupled scalar field and asymptotically quadratic potential function. We found that for va…
The non-minimal coupling constant and the primordial de Sitter state
Orest Hrycyna
Dynamical systems methods are used to investigate dynamics of a flat Friedmann-Robertson-Walker cosmological model with the non-minimally coupled scalar field and a potential funct…
Towards generic cosmological evolution without singularity and fundamental symmetry of space-time
Orest Hrycyna
Dynamical systems methods are used to investigate cosmological model with non-minimally coupled scalar field. Existence of an asymptotically unstable de Sitter state distinguishes…
Cosmological dynamics with non-minimally coupled scalar field and a constant potential function
Orest Hrycyna, Marek Szydlowski
Dynamical systems methods are used to investigate global behavior of the spatially flat Friedmann-Robertson-Walker cosmological model in gravitational theory with a non-minimally c…
Quantum theory of the Bianchi II model
Hervé Bergeron, Orest Hrycyna, Przemysław Małkiewicz +1
We describe the quantum evolution of the vacuum Bianchi II universe in terms of the transition amplitude between two asymptotic quantum Kasner-like states. For large values of the…
Dynamical complexity of the Brans-Dicke cosmology
Orest Hrycyna, Marek Szydlowski
The dynamics of the Brans-Dicke theory with a quadratic scalar field potential function and barotropic matter is investigated. The dynamical system methods are used to reveal compl…
Scalar Field Cosmology -- Geometry of Dynamics
Marek Szydlowski, Orest Hrycyna, Aleksander Stachowski
We study the Scalar Field Cosmology (SFC) using the geometric language of the phase space. We define and study an ensemble of dynamical systems as a Banach space with a Sobolev met…
Brans-Dicke theory and the emergence of ΛCDM model
Orest Hrycyna, Marek Szydlowski
The dynamics of the Brans-Dicke theory with a scalar field potential function is investigated. We show that the system with a barotropic matter content can be reduced to an autonom…
Dynamics of the Bianchi I model with non-minimally coupled scalar field near the singularity
Orest Hrycyna, Marek Szydlowski
Dynamical systems methods are used to study the evolution of the Bianchi I model with a scalar field. We show that inclusion of the non-minimal coupling term between the scalar fie…
Asymmetric cyclic evolution in polymerised cosmology
Orest Hrycyna, Jakub Mielczarek, Marek Szydlowski
The dynamical systems methods are used to study evolution of the polymerised scalar field cosmologies with the cosmological constant. We have found all evolutional paths admissible…
Effective dynamics of the closed loop quantum cosmology
Jakub Mielczarek, Orest Hrycyna, Marek Szydlowski
In this paper we study dynamics of the closed FRW model with holonomy corrections coming from loop quantum cosmology. We consider models with a scalar field and cosmological consta…
Effects of the quantisation ambiguities on the Big Bounce dynamics
Orest Hrycyna, Jakub Mielczarek, Marek Szydlowski
In this paper we investigate dynamics of the modified loop quantum cosmology models using dynamical systems methods. Modifications considered come from the choice of the different…
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…
Different faces of chaos in FRW models with scalar fields -- geometrical point of view
Orest Hrycyna, Marek Szydlowski
FRW cosmologies with conformally coupled scalar fields are investigated in a geometrical way by the means of geodesics of the Jacobi metric. In this model of dynamics, trajectories…
Dynamical dark energy models -- dynamical system approach
Marek Szydlowski, Orest Hrycyna
We study the Friedmann-Robertson-Walker model with dynamical dark energy modelled in terms of the equation of state in which the coefficient is pa…