Interaction between a robot and Bunimovich stadium billiards

The robot–environment–task triad provides many opportunities to revisit physical problems with fresh eyes. Hence, we develop a simple experiment to observe chaos in classical billiards with a macroscopic 3.38-m long setup. Using a digital video camera, one records the dynamic time evolution of the i...

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Autores principales: Vasconcelos, J. V. A., Miranda-Filho, L. H., de Souza, A. J. F., de C. Romaguera, A. R., Barbosa, A. L. R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8943174/
https://www.ncbi.nlm.nih.gov/pubmed/35322091
http://dx.doi.org/10.1038/s41598-022-08897-4
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author Vasconcelos, J. V. A.
Miranda-Filho, L. H.
de Souza, A. J. F.
de C. Romaguera, A. R.
Barbosa, A. L. R.
author_facet Vasconcelos, J. V. A.
Miranda-Filho, L. H.
de Souza, A. J. F.
de C. Romaguera, A. R.
Barbosa, A. L. R.
author_sort Vasconcelos, J. V. A.
collection PubMed
description The robot–environment–task triad provides many opportunities to revisit physical problems with fresh eyes. Hence, we develop a simple experiment to observe chaos in classical billiards with a macroscopic 3.38-m long setup. Using a digital video camera, one records the dynamic time evolution of the interaction between a robot and Bunimovich stadium billiards with specular reflection. From the experimental time series, we calculate the Lyapunov exponent [Formula: see text] as a function of a geometric parameter. The results are in concordance with theoretical predictions. In addition, we determine the Poincaré surface of section from the experimental data and check its sensitivity to the initial conditions as a function of time.
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spelling pubmed-89431742022-03-28 Interaction between a robot and Bunimovich stadium billiards Vasconcelos, J. V. A. Miranda-Filho, L. H. de Souza, A. J. F. de C. Romaguera, A. R. Barbosa, A. L. R. Sci Rep Article The robot–environment–task triad provides many opportunities to revisit physical problems with fresh eyes. Hence, we develop a simple experiment to observe chaos in classical billiards with a macroscopic 3.38-m long setup. Using a digital video camera, one records the dynamic time evolution of the interaction between a robot and Bunimovich stadium billiards with specular reflection. From the experimental time series, we calculate the Lyapunov exponent [Formula: see text] as a function of a geometric parameter. The results are in concordance with theoretical predictions. In addition, we determine the Poincaré surface of section from the experimental data and check its sensitivity to the initial conditions as a function of time. Nature Publishing Group UK 2022-03-23 /pmc/articles/PMC8943174/ /pubmed/35322091 http://dx.doi.org/10.1038/s41598-022-08897-4 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Vasconcelos, J. V. A.
Miranda-Filho, L. H.
de Souza, A. J. F.
de C. Romaguera, A. R.
Barbosa, A. L. R.
Interaction between a robot and Bunimovich stadium billiards
title Interaction between a robot and Bunimovich stadium billiards
title_full Interaction between a robot and Bunimovich stadium billiards
title_fullStr Interaction between a robot and Bunimovich stadium billiards
title_full_unstemmed Interaction between a robot and Bunimovich stadium billiards
title_short Interaction between a robot and Bunimovich stadium billiards
title_sort interaction between a robot and bunimovich stadium billiards
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8943174/
https://www.ncbi.nlm.nih.gov/pubmed/35322091
http://dx.doi.org/10.1038/s41598-022-08897-4
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