| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8054158 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
In this letter, we study the periodic solutions of the equation of barotropic Friedmann-Robertson-Walker cosmologies. Using variable transformation, the original second order ordinary differential equation is converted to a planar dynamical system. We prove that the planar dynamical system has two isochronous centers under certain parameter conditions by using Picard-Fuchs equation. Consequently, we find that there exist two families of periodic solutions with equal period for the Friedmann-Robertson-Walker model.
Related Topics
Physical Sciences and Engineering
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Computational Mechanics
Authors
Aiyong Chen, Caixing Tian, Wentao Huang,