Non-Integrability and Chaos in Classical Cosmology

A brief analysis of the dynamics of a Friedmann-Robertson-Walker universe with a conformally coupled, real, self-interacting, massive scalar field, based on the Painleve theory of differential equations, is presented. Our results complete earlier works done within the framework of Dynamical System T...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Helmi, Amina, Vucetich, Héctor
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1997
Materias:
Ciencias Astronómicas
Scalar field
Physics
Universe (mathematics)
Dynamical system
Complex plane
Branch point
Integrable system
Cosmology
Mathematical physics
Differential equation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122856
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-122856
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
Scalar field
Physics
Universe (mathematics)
Dynamical system
Complex plane
Branch point
Integrable system
Cosmology
Mathematical physics
Differential equation
spellingShingle Ciencias Astronómicas
Scalar field
Physics
Universe (mathematics)
Dynamical system
Complex plane
Branch point
Integrable system
Cosmology
Mathematical physics
Differential equation
Helmi, Amina
Vucetich, Héctor
Non-Integrability and Chaos in Classical Cosmology
topic_facet Ciencias Astronómicas
Scalar field
Physics
Universe (mathematics)
Dynamical system
Complex plane
Branch point
Integrable system
Cosmology
Mathematical physics
Differential equation
description A brief analysis of the dynamics of a Friedmann-Robertson-Walker universe with a conformally coupled, real, self-interacting, massive scalar field, based on the Painleve theory of differential equations, is presented. Our results complete earlier works done within the framework of Dynamical System Theory. We conclude that, in general, the system will not be integrable and that the chaos that has been found in a previous work, arises from the presence of movable logarithmic branch points in the solution in the complex plane of time.
format Articulo
Preprint
author Helmi, Amina
Vucetich, Héctor
author_facet Helmi, Amina
Vucetich, Héctor
author_sort Helmi, Amina
title Non-Integrability and Chaos in Classical Cosmology
title_short Non-Integrability and Chaos in Classical Cosmology
title_full Non-Integrability and Chaos in Classical Cosmology
title_fullStr Non-Integrability and Chaos in Classical Cosmology
title_full_unstemmed Non-Integrability and Chaos in Classical Cosmology
title_sort non-integrability and chaos in classical cosmology
publishDate 1997
url http://sedici.unlp.edu.ar/handle/10915/122856
work_keys_str_mv AT helmiamina nonintegrabilityandchaosinclassicalcosmology
AT vucetichhector nonintegrabilityandchaosinclassicalcosmology
bdutipo_str Repositorios
_version_ 1764820449324171265

Ejemplares similares