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We analyse dark energy models where self-interacting three-forms or phantom fields drive the accelerated expansion of the Universe. The dynamics of such models is often studied by rewriting the cosmological field equations in the form of a…

General Relativity and Quantum Cosmology · Physics 2012-12-11 Christian G. Boehmer , Nyein Chan , Ruth Lazkoz

In this paper we consider the cosmological implications of dark energy models with a coupled system of a dynamical scalar field (the quintessence) and the neutrinos. By detailed numerical calculations we study the various possibilities on…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Bi , Bo Feng , Hong Li , Xinmin Zhang

In this paper we review in detail a number of approaches that have been adopted to try and explain the remarkable observation of our accelerating Universe. In particular we discuss the arguments for and recent progress made towards…

High Energy Physics - Theory · Physics 2008-11-26 Edmund J. Copeland , M. Sami , Shinji Tsujikawa

The theory of the dynamical systems is a very complex subject which has brought several surprises in the recent past in connection with the theory of chaos and fractals. The application of the tools of the dynamical systems in cosmological…

General Relativity and Quantum Cosmology · Physics 2015-01-21 Ricardo García-Salcedo , Tame Gonzalez , Francisco A. Horta-Rangel , Israel Quiros , Daniel Sanchez-Guzmán

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 cut-off of the holographic model is…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Nilanjana Mahata , Subenoy Chakraborty

In the background dynamics of a spatially flat FLRW model of the universe, we investigate an interacting dark energy model in the context of Lyra's geometry. Pressure-less dust is considered as dark matter, mass of which varies with time…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Goutam Mandal , Sujay Kr. Biswas

The past and recent data analyses gave some hints of steps in dark energy. Considering the dark energy as a dynamical scalar field, we investigate several models with various steps: a step in the scalar potential, a step in the kinetic…

High Energy Physics - Theory · Physics 2013-05-29 Tower Wang

In this work a dynamical system approach to nonminimal coupled f(R) theories is made. The solutions of three distinct models are obtained and their stability and physical interpretation are studied to ascertain their viability as candidates…

General Relativity and Quantum Cosmology · Physics 2015-01-06 Rafael Ribeiro , Jorge Páramos

We use a dynamical systems approach to study thawing quintessence models, using a multi-parameter extension of the exponential potential which can approximate the form of typical thawing potentials. We impose observational constraints using…

Astrophysics · Physics 2009-07-13 Timothy G Clemson , Andrew R Liddle

We investigate the interaction between the dark sectors from the point of view of a dynamical system analysis. A general setup for interacting dark energy models that incorporates both quintessence and phantom fields through a switch…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Chonticha Kritpetch , Nandan Roy , Narayan Banerjee

In this paper, by considering the complex form of the quintessence model, we study two different dynamic structures of holographic dark energy as Tsallis and Kaniadakis in the framework Brans-Dicke cosmology. In each setup, we employ…

General Relativity and Quantum Cosmology · Physics 2022-03-10 J. Sadeghi , S Noori Gashti , T. Azizi

The main aim of this paper is to present the multi scalar field components as candidates to be the dark energy of the universe and their observational constraints. We start with the canonical Quintessence and Phantom fields with quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-12 J. Alberto Vázquez , David Tamayo , Gabriela Garcia-Arroyo , Isidro Gómez-Vargas , Israel Quiros , Anjan A. Sen

In this work we explore a model of the universe in which dark energy is modelled explicitely with both a dynamical quintessence field (with a double exponential self-interaction potential) and a cosmological constant. For a given region of…

Astrophysics · Physics 2007-05-23 Rolando Cardenas , Tame Gonzalez , Osmel Martin , Israel Quiros

In this paper, we discuss a possibility of studying properties of dark energy in long baseline neutrino oscillation experiments. We consider two types of models of neutrino dark energy. For one type of models the scalar field is taken to be…

High Energy Physics - Phenomenology · Physics 2011-08-31 Pei-Hong Gu , Xiao-Jun Bi , Bo Feng , Bing-Lin Young , Xinmin Zhang

We constrain the parameters of dynamical dark energy in the form of a classical scalar field with barotropic equation of state jointly with other cosmological parameters using various combined datasets including the CMB power spectra from…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Olga Sergijenko , Bohdan Novosyadlyj

We give the three-dimensional dynamical autonomous systems for most of the popular scalar field dark energy models including (phantom) quintessence, (phantom) tachyon, k-essence and general non-canonical scalar field models, change the…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Wei Fang , Hong Tu , Jiasheng Huang , Chenggang Shu

We investigate the impacts of interaction between dark matter and dark energy in the context of two dark energy models, holographic and ghost dark energy. In fact, using the dynamical system analysis, we obtain the cosmological consequence…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Hanif Golchin , Sara Jamali , Esmaeil Ebrahimi

In this work, we use a dynamical system approach to analyse the viability of $f(R,\mathcal{L})$ candidates for dark energy. We compare these with nonminimal coupled $f(R)$ theories and study the solutions for exponential and power-law forms…

General Relativity and Quantum Cosmology · Physics 2016-09-20 R. P. L. Azevedo , J. Páramos

Quintessence theories for cosmic acceleration imbue dark energy with a non-trivial dynamics that offers hope in distinguishing the physical origin of the component. We review quintessence models with an emphasis on this dynamics and discuss…

Astrophysics · Physics 2009-06-23 Eric V. Linder

In this talk we present a model of the universe in which dark energy is modelled explicitely with both a dynamical quintessence field and a cosmological constant. Our results confirm the possibility of a collapsing universe (for a given…

Astrophysics · Physics 2007-05-23 Rolando Cardenas , Tame Gonzalez , Osmel Martin , Israel Quiros