caa a22 4500 46788675X CHVBK 20180406152736.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10714-005-0211-z doi (NATIONALLICENCE)springer-10.1007/s10714-005-0211-z Dynamical dark energy models - dynamical system approach [Elektronische Daten] [Marek Szydłowski, Orest Hrycyna] We study the Friedmann-Robertson-Walker model with dynamical dark energy modelled in terms of the equation of state p X = w X (a(z)) ρ X in which the coefficient w X is parameterized by the scale factor a or redshift z. We use methods of qualitative analysis of differential equations to investigate the space of all admissible solutions for all initial conditions on the two-dimensional phase plane. We show advantages of representing this dynamics as a motion of a particle in the one-dimensional potential V(a). One of the features of this reduction is the possibility of investigating how typical big rip singularities are in the future evolution of the model. The properties of potential function V can serve as a tool for qualitative classification of all evolution paths. Some important features like resolution of the acceleration problem can be simply visualized as domains on the phase plane. Then one is able to see how large is the class of solutions (labelled by the inset of the initial conditions) leading to the desired property. Springer-Verlag, 2006 Cosmology nationallicence Dark energy nationallicence Dynamical systems nationallicence Szydłowski Marek Complex Systems Research Center, Jagiellonian University, Reymonta 4, 30-059, Kraków, Poland aut Hrycyna Orest Astronomical Observatory, Jagiellonian University, Orla 171, 30-244, Kraków, Poland aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 38/1(2006-01-01), 121-135 0001-7701 38:1<121 2006 38 10714 https://doi.org/10.1007/s10714-005-0211-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-005-0211-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Szydłowski Marek Complex Systems Research Center, Jagiellonian University, Reymonta 4, 30-059, Kraków, Poland aut NATIONALLICENCE 700 1- Hrycyna Orest Astronomical Observatory, Jagiellonian University, Orla 171, 30-244, Kraków, Poland aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 38/1(2006-01-01), 121-135 0001-7701 38:1<121 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer