Periodic solutions with equal period for the Friedmann-Robertson-Walker model
type: Item
instance of: scholarly article
title: Periodic solutions with equal period for the Friedmann-Robertson-Walker model
zbMATH Open document ID: 1384.34055
author: Aiyong Chen
author: Cai-Xing Tian
author: Wentao Huang
published in: Applied Mathematics Letters
publication date: 2018-01-12T00:00:00Z
review text: In this paper, the authors study the periodic solutions of the equation of barotropic Friedmann-Robertson-Walker cosmologies having the form \[ aa''+\gamma (a')^2+\gamma k=\frac{1}{3}\Lambda (\gamma +1) a^2, \] where all the letters except \(a\) are parameters. By using variable transformation, the authors convert the original second order ordinary differential equation into a planar dynamical system, and then they prove that the latter has two isochronous centers under certain parameter conditions. Consequently, two families of periodic solutions with equal period for the system are found.
reviewed by: Jiazhong Yang
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6826041
zbMATH Keywords: periodic solution
zbMATH Keywords: period function
zbMATH Keywords: abelian integral
zbMATH Keywords: Friedmann-Robertson-Walker model
MaRDI profile type: Publication
full work available at URL: j.aml.2017.10.007
OpenAlex ID: W2765298953
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DOI: 10.1016/J.AML.2017.10.007
description: scientific article; zbMATH DE number 6826041