Stability analysis of an interacting holographic dark energy model

Abstract

The present work deals with dynamical system analysis of Holographic Dark Energy cosmological model with different infra-red (IR)-cutoff. By suitable transformation of variables the Einstein field equations are converted to an autonomous system. The critical points are determined and the stability of the equilibrium points are examined by Center Manifold Theory and Liapunov function method. Possible bifurcation scenarios have also been explained.

References in corpus (49)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• A Model of Holographic Dark Energy
• Coupled Quintessence
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Entropy Bounds and Dark Energy
• Holographic dark energy and cosmic coincidence
• Transition of the dark energy equation of state in an interacting holographic dark energy model
• Interacting Quintessence
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Holographic Dark Energy
• Can interacting dark energy solve the $H_0$ tension?
• Large-scale instability in interacting dark energy and dark matter fluids
• New infrared cut-off for the holographic scalar fields models of dark energy
• Constraints on the interacting holographic dark energy model
• Tracking and coupled dark energy as seen by WMAP
• Holographic dark energy models: A comparison from the latest observational data
• Cosmological Evolution With Interaction Between Dark Energy And Dark Matter
• Effects of the interaction between dark energy and dark matter on cosmological parameters
• Le Chatelier-Braun principle in cosmological physics
• Interactions in Scalar Field Cosmology
• Echo of interactions in the dark sector
• Interacting Dark Energy -- constraints and degeneracies
• New constraints on interacting dark energy from cosmic chronometers
• Probing interaction and spatial curvature in the holographic dark energy model
• Interacting models may be key to solve the cosmic coincidence problem
• Toward a solution of the coincidence problem
• Cosmological constraints on interacting dark energy with redshift-space distortion after Planck data
• Large-scale Stability and Astronomical Constraints for Coupled Dark-Energy Models
• A new interacting two fluid model and its consequences
• The past and future dynamics of quintom dark energy models
• Validity of the Generalized Second Law of Thermodynamics of the Universe Bounded by the Event Horizon in Holographic Dark Energy Model
• Dynamics of dark energy models and centre manifolds
• Large-scale (in-) stability Analysis of an Exactly Solved Coupled Dark-Energy Model
• Dynamical analysis of interacting dark energy model in the framework of particle creation mechanism
• Generalized Brans-Dicke Theory: A Dynamical Systems Analysis
• Extended Phase Space Analysis of Interacting Dark Energy Models in Loop Quantum Cosmology
• Dynamical system analysis of Quintom Dark Energy Model
• Cosmological dynamics of brane gravity: A global dynamical system perspective
• Spatial Ricci scalar dark energy model
• Interacting Dark Energy: Dynamical System Analysis
• Stable Large-Scale Perturbations in Interacting Dark-Energy Model
• The Dynamics of Inhomogeneous Dark Energy

Cited by in corpus (5)

• A study of interacting scalar field model from the perspective of the dynamical systems theory
• Interacting Holographic dark energy with matter creation: A dynamical system analysis
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Agegraphic dark energy from entropy of the anti-de Sitter black hole
• Observational Constraints and Cosmological Dynamics of Interacting Fractional Holographic Dark Energy in Light of DESI DR2