Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due
to the presence of unstable periodic orbits, it easily becomes chaotic under various …

The present work deals with dynamical system analysis of a quintom model of dark energy.
By suitable transformation of variables the Einstein field equations are converted to an …

The present work deals with dynamical system analysis of Interacting f (T) cosmology.
Einstein field equations are second order non-linear differential equations. So it is very …

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 group …

Based on the Melnikov method, we investigate chaotic behaviors in the extended
thermodynamic phase space for a slowly rotating Kerr-AdS black hole under temporal and …

We give the three-dimensional dynamical autonomous systems for most of the popular
scalar field dark energy models including (phantom) quintessence,(phantom) tachyon, K …

We study the dynamics of the closed scalar field FRW cosmological models in the framework
of the so-called unified dark matter (UDM) scenario. Performing a theoretical as well as a …

As it is well known today, the universe continues to expand, even at an accelerating rate.
The main reason for it is an unknown energy called a dark energy. This energy occupies …

The dependence of chaos on two parameters of the cosmological constant and the self-
interacting coefficient in the imaginary phase space for a closed Friedman–Robertson …

In this paper, we use a nonintegrability theorem by Morales and Ramis to analyse the
integrability of Friedmann–Robertson–Walker cosmological models with a conformally …