Dark Energy: A Dynamical Systems Approach to the Reconstruction of the Equation of State

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Osano, Bob
Format:	Preprint
Published:	2024
Subjects:	General Relativity and Quantum Cosmology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Interacting Dark Sector: An Isobaric Approximation
by: Osano, Bob
Published: (2025)

Dynamics of the transitions epochs in cosmological evolution
by: Osano, Bob
Published: (2024)

Evolution of Cosmological Total Energy Density and Transient Periods in Cosmology
by: Osano, Bob
Published: (2020)

Probing the Dynamics of Gaussian Dark Energy Equation of State Using DESI BAO
by: Hussain, Saddam, et al.
Published: (2025)

Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
by: Ashmita, et al.
Published: (2024)

Some New Types of Well-Behaved Polynomial Redshift Parametrization of Dark Energy Equation of State
by: Rudra, Prabir, et al.
Published: (2025)

Accretion of Dark Energy Candidates Following Redshift Parametrization Type Equation of State : Horava-Lifshitz Gravity
by: Biswas, Promila, et al.
Published: (2025)

Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation
by: Myrzakulov, N., et al.
Published: (2025)

Reconstruction of Tsallis Holographic Dark Energy via Modified Non-Metric Gravity: An $f(Q,C)$ Approach
by: Sultana, Sanjeeda, et al.
Published: (2026)

Scalar-Field Reconstruction of Ricci--Gauss--Bonnet Dark Energy in Hořava--Lifshitz Cosmology
by: Chattopadhyay, Surajit
Published: (2026)

Vector Field Dynamics: Field Equations and Energy Tensor
by: Dale, Roberto, et al.
Published: (2023)

Diagnostic Approaches for Interacting generalized holographic Ricci Dark Energy Models
by: Enkhili, Omar, et al.
Published: (2024)

Fractional Holographic Dark Energy Driven Reconstruction of $f(Q)$ Gravity and its Cosmological Implications
by: Mazumdar, Rajdeep, et al.
Published: (2025)

How Dark Sector Equations of State Govern Interaction Signatures
by: Wu, Peng-Ju, et al.
Published: (2025)

Solar System Experiments in the Search for Dark Energy and Dark Matter
by: Turyshev, Slava G.
Published: (2025)

Modified gravity/Dynamical Dark Energy vs $Λ$CDM: is the game over?
by: Odintsov, Sergei D., et al.
Published: (2024)

Cosmic Acceleration from Quantum Gravity: Emergent Inflation and Dynamical Dark Energy
by: Marchetti, Luca, et al.
Published: (2025)

Extended Entropic Dark Energy with Four Free Parameters: Theory, Dynamics, and Constraints
by: Momeni, Davood
Published: (2025)

Negative mass singularities mimicking dark energy
by: Holdom, Bob
Published: (2025)

Anisotropic Cosmology with interacting Dark Energy in f(R,T) Gravity: A Data-Constrained & independent Approach
by: Shekh, S. H., et al.
Published: (2026)

Holographic Dark Energy with Torsion
by: Yun, Yongjun, et al.
Published: (2024)

Interacting Early Dark Energy
by: Bisabr, Yousef
Published: (2025)

Rényi Holographic Dark Energy
by: Nakarachinda, Ratchaphat, et al.
Published: (2023)

Interacting Dark Energy and Its Implications for Unified Dark Sector
by: MV, Pradosh Keshav, et al.
Published: (2024)

Barotropic Equation of State and Nonlinear Electrodynamics in Dynamical Black Hole Spacetimes
by: Vertogradov, Vitalii, et al.
Published: (2025)

Scalar Field Reconstructions of Holographic Dark Energy Models with Applications to Chaplygin Gas, DBI, Yang-Mills, and NLED Frameworks
by: Pasqua, Antonio
Published: (2025)

Cosmological Evolution of Viscous Dark Energy in f(Q,C) Gravity: Two-Fluid Approach
by: Myrzakulov, N., et al.
Published: (2024)

Scalar Field Reconstructions of Standard, Power Law and Logarithmic Holographic Dark Energy with a Gauss-Bonnet IR cut-off
by: Pasqua, Antonio
Published: (2026)

Towards the Reconstruction of a Unified Dark Matter Halo: a Phenomenological Approach
by: Caputo, Claudia, et al.
Published: (2026)

Dark Energy After DESI DR2: Observational Status, Reconstructions, and Physical Models
by: Turyshev, Slava G.
Published: (2026)

How Dark is Dark Energy? A Lightcones Comparison Approach
by: Carfora, Mauro, et al.
Published: (2025)

Dynamical Dark Energy from $F(R)$ Gravity Models Unifying Inflation with Dark Energy: Confronting the Latest Observational Data
by: Odintsov, S. D., et al.
Published: (2025)

Dark Energy
by: Cacciatori, Sergio Luigi, et al.
Published: (2024)

Dynamic Dark Energy from the Local Limit of Nonlocal Gravity
by: Tabatabaei, Javad, et al.
Published: (2023)

Reconstruction schemes of scalar field models for the Power Law Entropy Corrected Holographic Dark Energy model with Ricci scalar cut-off
by: Pasqua, Antonio, et al.
Published: (2023)

Running Hubble constant: evolutionary Dark Energy
by: Montani, Giovanni, et al.
Published: (2024)

Warm Inflation with Barrow Holographic Dark Energy
by: Ghosh, Moli, et al.
Published: (2024)

Ghost Dark Energy in Tsallis and Barrow Cosmology
by: Ebrahimi, Esmaeil, et al.
Published: (2024)

Dark Energy Phenomenology in a $f(R,Σ,T)$ Gravity Framework: $O_m(z)$ Parameterization Approach
by: Myrzakulov, N., et al.
Published: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"eb8f2a4d4f03db26307c23c4d8132c32"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790927583.0131 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "eb8f2a4d4f03db26307c23c4d8132c32" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=eb8f2a4d4f03db26307c23c4d8132c32; ui=standard; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"64272"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2409_07053/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2409_07053/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790927583.0088
REQUEST_TIME	1790927583

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"eb8f2a4d4f03db26307c23c4d8132c32"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790927583.0131 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "eb8f2a4d4f03db26307c23c4d8132c32" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=eb8f2a4d4f03db26307c23c4d8132c32; ui=standard; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"64272"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2409_07053/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2409_07053/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790927583.0088
REQUEST_TIME	1790927583

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: