<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper we study dynamics of the standard cosmological model of the universe assuming that it is filled with <italic>n</italic> types of non-interacting barotropic perfect fluids. For that purpose, a dynamical system of a class of Lotka-Volterra dynamical systems is derived, that consists of <italic>n</italic> nonlinear differential equations of the first order, whose dependent variables are density parameters of the material in the universe. Analytical solution of that system represents new parametrization of density parameters. Moreover, we perceive the evolution of the universe in the frame of the linear stability theory.</p>
</abstract>

In this paper we study dynamics of the standard cosmological model of the universe assuming that it is filled with n types of non-interacting barotropic perfect fluids. For that purpose, a dynamical system of a class of Lotka-Volterra dynamical systems is derived, that consists of n nonlinear differential equations of the first order, whose dependent variables are density parameters of the material in the universe. Analytical solution of that system represents new parametrization of density parameters. Moreover, we perceive the evolution of the universe in the frame of the linear stability theory.

Friedmann equations as <italic>n</italic>-dimensional dynamical system

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Friedmann equations as -dimensional dynamical system

In this paper we study dynamics of the standard cosmological model of the universe assuming that it is filled with n types of non-interacting barotropic...

Friedmann equations as n-dimensional dynamical system

Published Online: Mar 27, 2023

Page range: 23 - 37

Received: Nov 06, 2022

Accepted: Jan 22, 2023

DOI: https://doi.org/10.2478/auom-2023-0017

Keywords
Friedmann equations, Lotka-Volterra equations, CDM model, nonlinear differential equations, dynamical systems

© 2023 Danijela Branković, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Friedmann equations as n-dimensional dynamical system

Published Online: Mar 27, 2023

Page range: 23 - 37

Received: Nov 06, 2022

Accepted: Jan 22, 2023

DOI: https://doi.org/10.2478/auom-2023-0017

KeywordsFriedmann equations, Lotka-Volterra equations, CDM model, nonlinear differential equations, dynamical systems

© 2023 Danijela Branković, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Friedmann equations, Lotka-Volterra equations, CDM model, nonlinear differential equations, dynamical systems