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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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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 -