Dynamical systems applied to cosmology: dark energy and modified gravity
type: Item
instance of: scholarly article
title: Dynamical systems applied to cosmology: dark energy and modified gravity
zbMATH Open document ID: 1404.83143
author: Sebastian Bahamonde
author: Christian G. Böhmer
author: Sante Carloni
author: E. J. Copeland
author: Wei Fang
author: Nicola Tamanini
published in: Physics Reports
publication date: 2018-12-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1712.03107
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 85A40
Mathematics Subject Classification ID: 83D05
zbMATH DE Number: 6993676
MaRDI profile type: Publication
OpenAlex ID: W3101462954
Wikidata QID: Q62562727
arXiv ID: 1712.03107
cites work: Cosmological dynamics of ‘exponential gravity’
cites work: The dynamical viability of scalar–tensor gravity theories
cites work: Teleparallel gravity. An introduction
cites work: Dynamics of Robertson-Walker spacetimes with diffusion
cites work: Global dynamics and asymptotics for monomial scalar field potentials and perfect fluids
cites work: Global dynamics and inflationary center manifold and slow-roll approximants
cites work: Cosmological dynamics with nonlinear interactions
cites work: Q3995227
cites work: Loop quantum cosmology: a status report
cites work: Phase-space analysis of the cosmological 3-fluid problem: families of attractors and repellers
cites work: Stability analysis of a holographic dark energy model
cites work: Inflation and String Theory
cites work: On the cosmology of massive vector fields with SO(3) global symmetry
cites work: Qualitative analysis of early universe cosmologies
cites work: Dynamical systems analysis of an interacting dark energy model in the brane scenario
cites work: Interacting dark energy in f(T) cosmology: A dynamical system analysis
cites work: The Einstein-Elko system – Can dark matter drive inflation?
cites work: Dark spinor models in gravitation and cosmology
cites work: Q3656320
cites work: Dynamical Systems in Cosmology
cites work: Jacobi stability analysis of dynamical systems - applications in gravitation and cosmology
cites work: Loop quantum cosmology
cites work: Stability and phase space analysis in \(f(R)\) theory with generalized exponential \(f(R)\) model
cites work: Cosmological evolution with interaction between dark energy and dark matter
cites work: Dynamical system analysis of cosmologies with running cosmological constant from quantum Einstein gravity
cites work: Mach's Principle and a Relativistic Theory of Gravitation
cites work: Action functionals for relativistic perfect fluids
cites work: A dark energy model characterized by the age of the Universe
cites work: Extended theories of gravity and their cosmological and astrophysical applications
cites work: THE PHASE-SPACE VIEW OF INFLATION II: FOURTH-ORDER MODELS
cites work: Cosmological dynamics of scalar–tensor gravity
cites work: Cosmological dynamics of R n gravity
cites work: An analysis of the phase space of Hořava-Lifshitz cosmologies
cites work: Some remarks on the dynamical systems approach to fourth order gravity
cites work: Non-minimally coupled condensate cosmologies: a phase space analysis
cites work: The dynamics of Bianchi I universes in \(\mathcal{R}^n\) cosmologies with torsion
cites work: Applications of centre manifold theory
cites work: The cosmological constant
cites work: FIVE-DIMENSIONAL COSMOLOGICAL SCALING SOLUTION
cites work: Stability analysis of cosmological models through Lyapunov's method
cites work: A dark energy model interacting with dark matter and unparticle
cites work: DYNAMICS OF ROLLING MASSIVE SCALAR FIELD COSMOLOGY
cites work: On the stability of a class of modified gravitational models
cites work: Homogeneous cosmologies in generalized modified gravity
cites work: Effective Field Theory, Black Holes, and the Cosmological Constant
cites work: No chaos in brane-world cosmology
cites work: Dynamical systems and cosmology
cites work: Homogeneous scalar field cosmologies with an exponential potential
cites work: More qualitative cosmology
cites work: Scalar cosmology with multi-exponential potentials
cites work: DYNAMICS OF DARK ENERGY
cites work: Amplitude Equations for Systems with Competing Instabilities
cites work: Cosmological dynamics of interacting logarithmic entropy corrected holographic dark energy model
cites work: Cubic derivative interactions and asymptotic dynamics of the galileon vacuum
cites work: \(f(R)\) theories
cites work: Massive gravity
cites work: The phase-space view of f ( R ) gravity
cites work: Nonlocal Cosmology
cites work: Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dark energy with a gradient coupling to the dark matter fluid: cosmological dynamics and structure formation

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: 4D gravity on a brane in 5D Minkowski space

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Phase space analysis of quintessence fields trapped in a Randall–Sundrum braneworld: a refined study

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Phase space analysis of quintessence fields trapped in a Randall–Sundrum braneworld: anisotropic Bianchi I brane with a positive dark radiation term

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Some remarks about non-minimally coupled scalar field models

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Exact analysis of scaling and dominant attractors beyond the exponential potential

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Exponential potentials and attractor solution of dilatonic cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: THE EVOLUTION OF THE UNIVERSE WITH THE B–I TYPE PHANTOM SCALAR FIELD

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmology in scalar-tensor gravity.

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Non-chaotic dynamics in general-relativistic and scalar–tensor cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Scalar field cosmology in phase space

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Bifurcation and global dynamical behavior of the f(T) theory

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The Scalar-Tensor Theory of Gravitation

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Introduction to the application of dynamical systems theory in the study of the dynamics of cosmological models of dark energy

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Perturbations in \(k\)-inflation

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: UNPARTICLE PHYSICS

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological evolution of the rolling tachyon

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Thoughts on tachyon cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamics of f ( R )-cosmologies containing Einstein static models

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical systems analysis of anisotropic cosmologies in R n -gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Compactifying the state space for alternative theories of gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Interacting dark energy: Dynamical system analysis

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The general property of dynamical quintessence field

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Exact scaling solutions and fixed points for general scalar field

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamics of quintessence models of dark energy with exponential coupling to dark matter

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Varying- α and K-essence

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The dynamical system approach to scalar field cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological scaling solutions and cross-coupling exponential potential

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological scaling solutions and multiple exponential potentials

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamics of generalized assisted inflation

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmology with positive and negative exponential potentials

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Coupled quintessence and phantom based on a dilaton

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Inflation, braneworlds and quintessence

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q4409633

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: De Sitter vacua in string theory

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: An alternative to quintessence

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Scaling solutions and geodesics in moduli space

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical behavior in \(f(T, T_{G})\) cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: A note on viability of nonminimally coupled \(f(R)\) theory

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Qualitative analysis of Brans-Dicke universes with a cosmological constant

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The covariant formulation of f ( T ) gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Coupled tachyonic dark energy: a dynamical analysis

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q4812800

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Quintom cosmologies with arbitrary potentials

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Shear dynamics in Bianchi I cosmologies with R n -gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamics of radiating braneworlds

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q3247296

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: On the past asymptotic dynamics of non-minimally coupled dark energy

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Quintom phase-space: beyond the exponential potential

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological behavior in extended nonlinear massive gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamics of the anisotropic Kantowsky–Sachs geometries in R n gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamics of two-scalar-field cosmological models beyond the exponential potential

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: DYNAMICAL EVOLUTION OF INTERACTING MODIFIED CHAPLYGIN GAS

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The heteroclinic orbit and tracking attractor in a cosmological model with a double exponential potential

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical behaviors of FRW universe containing a positive/negative potential scalar field in loop quantum cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Challenges to self-acceleration in modified gravity from gravitational waves and large-scale structure

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q5476727

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: A dynamical system analysis of holographic dark energy models with different IR cutoff

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical system analysis for DBI dark energy interacting with dark matter

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical properties of scaling solutions in teleparallel dark energy cosmologies with nonminimal coupling

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Assisted inflation via tachyon condensation

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: String cosmology: a review

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: General relativity as a cosmological attractor of scalar tensor-tensor gravity theories

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical system approach to FRW models in higher-order gravity theories

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Scalar-field cosmologies with an arbitrary potential

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: A dynamical system analysis of \(f(R,T)\) gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Constraining f(T) gravity by dynamical system analysis

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Scalar–tensor–vector gravity theory

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Hořava–Lifshitz cosmology: a review

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: On the potentials yielding cosmological scaling solutions

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: ELKO applications in cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The jungle universe: coupled cosmological models in a Lotka-Volterra framework

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q2706801

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Measurements of Ω and Λ from 42 High‐Redshift Supernovae

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Homeomorphisms Between Banach Spaces

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical evolution of quintessence cosmology in a physical phase space

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Lectures on string/brane cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: A study of tachyon dynamics for broad classes of potentials

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Large Mass Hierarchy from a Small Extra Dimension

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: An Alternative to Compactification

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Mimetic attractors

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Higgs dark energy

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Appropriate initial conditions for asymptotic descriptions of the long term evolution of dynamical systems

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Low-dimensional modelling of dynamics via computer algebra

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q5245249

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Tracking quintessence: a dynamical systems study

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical systems study of chameleon scalar field

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: On coincidence problem in ELKO dark energy model

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Anisotropic Einstein-aether cosmological models

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Phase space analysis of bulk viscous matter dominated universe

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Scaling solutions on a brane

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: FIELD THEORY OF TACHYON MATTER

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: QUINTOM COSMOLOGY WITH GENERAL POTENTIALS

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: THE COSMOLOGICAL DYNAMICS OF INTERACTING HOLOGRAPHIC DARK ENERGY MODEL

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: f ( R ) theories of gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: A new type of isotropic cosmological models without singularity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dissipative or conservative cosmology with dark energy?

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Scalar field cosmology — geometry of dynamics

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: ON THE DYNAMICS OF A QUADRATIC SCALAR FIELD POTENTIAL

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Scaling solutions in Robertson-Walker spacetimes

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Stability analysis of multiple scalar field cosmologies with matter

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: A dynamical systems approach to Bianchi cosmologies: orthogonal models of class A

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Holographic dark energy

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Entropy-Corrected Holographic Dark Energy

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological evolution of quintessence and phantom with a new type of interaction in dark sector

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological evolution of Einstein-Aether models with~power-law-like potential

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The cosmological constant problem

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q3518447

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Q4692840

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The confrontation between general relativity and experiment

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Dynamical analysis of the cosmology of mass-varying massive gravity

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Interacting generalized Chaplygin gas

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: DYNAMICAL BEHAVIOR OF INTERACTING DARK ENERGY IN LOOP QUANTUM COSMOLOGY

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Agegraphic dark energy with the sign-changeable interaction in non-flat universe

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Phase-space analysis of a class of k-essence cosmology

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Cosmological evolution of interacting dark energy in Lorentz violation

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Acausality in nonlocal gravity theory

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: SCREENING OF COSMOLOGICAL CONSTANT IN NON-LOCAL COSMOLOGY

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Yang–Mills condensate dark energy coupled with matter and radiation

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: ATTRACTOR SOLUTION IN COUPLED YANG–MILLS FIELD DARK ENERGY MODELS

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: The state equation of Yang–Mills field dark energy models

Dynamical systems applied to cosmology: dark energy and modified gravity (cites work)
cites work: Interacting quintessence

Dynamical systems applied to cosmology: dark energy and modified gravity (DOI)
DOI: 10.1016/J.PHYSREP.2018.09.001