scholarly journals Interactive mixture of inhomogeneous dark fluids driven by dark energy: a dynamical system analysis

2018 ◽  
Vol 78 (3) ◽  
Author(s):  
Germán Izquierdo ◽  
Roberto C. Blanquet-Jaramillo ◽  
Roberto A. Sussman
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
System Analysis

scholarly journals Dynamical system analysis of three-form field dark energy model with baryonic matter

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Soumya Chakraborty ◽  
Sudip Mishra ◽  
Subenoy Chakraborty
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
Cold Dark Matter ◽  
System Analysis ◽  
Evolution Equations ◽  
Matter Field ◽  
Baryonic Matter ◽  
Form Field ◽  
The Stability ◽  
Manifold Theory

AbstractA cosmological model having matter field as (non) interacting dark energy (DE) and baryonic matter and minimally coupled to gravity is considered in the present work with flat FLRW space time. The DE is chosen in the form of a three-form field while radiation and dust (i.e; cold dark matter) are the baryonic part. The cosmic evolution is studied through dynamical system analysis of the autonomous system so formed from the evolution equations by suitable choice of the dimensionless variables. The stability of the non-hyperbolic critical points are examined by Center manifold theory and possible bifurcation scenarios have been examined.

scholarly journals Dynamical system analysis for DBI dark energy interacting with dark matter

2015 ◽  
Vol 30 (02) ◽  
pp. 1550009 ◽  
Author(s):  
Nilanjana Mahata ◽  
Subenoy Chakraborty
Keyword(s):  
Dynamical System ◽  
Dark Matter ◽  
Dark Energy ◽  
Scalar Field ◽  
System Analysis ◽  
Einstein Field Equation ◽  
Field Equations ◽  
Cosmological Scenario ◽  
Kinetic Energy Term ◽  
Autonomous Dynamical System

A dynamical system analysis related to Dirac–Born–Infeld (DBI) cosmological model has been investigated in this present work. For spatially flat FRW spacetime, the Einstein field equation for DBI scenario has been used to study the dynamics of DBI dark energy interacting with dark matter. The DBI dark energy model is considered as a scalar field with a nonstandard kinetic energy term. An interaction between the DBI dark energy and dark matter is considered through a phenomenological interaction between DBI scalar field and the dark matter fluid. The field equations are reduced to an autonomous dynamical system by a suitable redefinition of the basic variables. The potential of the DBI scalar field is assumed to be exponential. Finally, critical points are determined, their nature have been analyzed and corresponding cosmological scenario has been discussed.

scholarly journals A dynamical system analysis of holographic dark energy models with different IR cutoff

2015 ◽  
Vol 30 (27) ◽  
pp. 1550134 ◽  
Author(s):  
Nilanjana Mahata ◽  
Subenoy Chakraborty
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
System Analysis ◽  
Holographic Dark Energy ◽  
Holographic Model ◽  
Future Event ◽  
Dynamical Equations ◽  
Energy Models ◽  
Matter Energy ◽  
Future Event Horizon

The paper deals with a dynamical system analysis of the cosmological evolution of an holographic dark energy (HDE) model interacting with dark matter (DM) which is chosen in the form of dust. The infrared cutoff of the holographic model is considered as future event horizon or Ricci length scale. The interaction term between dark energy (DE) and DM is chosen of following three types: (i) proportional to the sum of the energy densities of the two dark components, (ii) proportional to the product of the matter energy densities and (iii) proportional to DE density. The dynamical equations are reduced to an autonomous system for the three cases and corresponding phase space is analyzed.

scholarly journals Non-minimally coupled quintessence dark energy model with a cubic galileon term: a dynamical system analysis

2018 ◽  
Vol 78 (3) ◽  
Author(s):  
Somnath Bhattacharya ◽  
Pradip Mukherjee ◽  
Amit Singha Roy ◽  
Anirban Saha
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
Dark Energy Model ◽  
System Analysis ◽  
Energy Model

A dynamical system analysis of Tsallis holographic dark energy

2020 ◽  
Vol 365 (6) ◽  
Author(s):  
Esmaeil Ebrahimi
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
System Analysis ◽  
Holographic Dark Energy

scholarly journals The evolution of the FRW universe with decaying metastable dark energy—a dynamical system analysis

2020 ◽  
Vol 2020 (04) ◽  
pp. 029-029 ◽  
Author(s):  
Marek Szydłowski ◽  
Aleksander Stachowski ◽  
Krzysztof Urbanowski
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
System Analysis ◽  
Frw Universe

scholarly journals Dynamical system analysis of agegraphic dark energy in brane-induced gravity

2019 ◽  
Author(s):  
Arvin Ravanpak ◽  
Golnaz Farpour Fadakar
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
System Analysis ◽  
Induced Gravity ◽  
Agegraphic Dark Energy

Dynamical system analysis for a scalar–tensor model with Gauss–Bonnet coupling

2019 ◽  
Vol 16 (03) ◽  
pp. 1950044
Author(s):  
Behnaz Fazlpour ◽  
Ali Banijamali
Keyword(s):  
Dynamical System ◽  
Dark Energy ◽  
Scalar Field ◽  
Critical Points ◽  
System Analysis ◽  
Field Potential ◽  
Tensor Model ◽  
Coincidence Problem ◽  
Perturbation Matrix ◽  
Dynamical System Method

In this paper, we study the dynamics of a scalar–tensor model of dark energy in which a scalar field that plays the role of dark energy, non-minimally coupled to the Gauss–Bonnet invariant in four dimensions. We utilize the dynamical system method to extract the critical points of the model and to conclude about their stability, we investigate the sign of the corresponding eigenvalues of the perturbation matrix at each point numerically. For exponential form of the scalar field potential and coupling function, we find five stable points among the critical points of the autonomous system. We also find four scaling attractor solutions with the property that the ratio of dark energy to dark matter density parameters are of order one. These solutions give the hope to alleviate the well-known coincidence problem in cosmology.

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