Journal of Nonlinear Mathematical Physics

Volume 22, Issue 2, February 2015, Pages 170 - 179

No periodic orbits for the type A Bianchi's systems

Authors
Claudio A. Buzzi
Departamento de Matemática – IBILCE–UNESP, Rua C. Colombo, 2265, CEP 15054–000 S. J. Rio Preto, Sāo Paulo, Brazil.buzzi@ibilce.unesp.br
Jaume Llibre
Departament de Matemàtiques – Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain.jllibre@mat.uab.cat
Received 6 November 2014, Accepted 7 January 2015, Available Online 6 January 2021.
DOI
10.1080/14029251.2015.1023561How to use a DOI?
Keywords
Bianchi cosmological models; periodic orbits
Abstract

It is known that the 6 models of Bianchi class A have no periodic solutions. In this article we provide a new, direct, unified and easier proof of this result.

Copyright
© 2015 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
22 - 2
Pages
170 - 179
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2015.1023561How to use a DOI?
Copyright
© 2015 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Claudio A. Buzzi
AU  - Jaume Llibre
PY  - 2021
DA  - 2021/01/06
TI  - No periodic orbits for the type A Bianchi's systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 170
EP  - 179
VL  - 22
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2015.1023561
DO  - 10.1080/14029251.2015.1023561
ID  - Buzzi2021
ER  -