Interaction between a robot and Bunimovich stadium billiards
Abstract 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...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2022-03-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-08897-4 |
| _version_ | 1818358426854490112 |
|---|---|
| author | J. V. A. Vasconcelos L. H. Miranda-Filho A. J. F. de Souza A. R. de C. Romaguera A. L. R. Barbosa |
| author_facet | J. V. A. Vasconcelos L. H. Miranda-Filho A. J. F. de Souza A. R. de C. Romaguera A. L. R. Barbosa |
| author_sort | J. V. A. Vasconcelos |
| collection | DOAJ |
| description | Abstract 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 $$\lambda$$ λ 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. |
| first_indexed | 2024-12-13T20:28:49Z |
| format | Article |
| id | doaj.art-a883414de300417aab169b154635a80f |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-13T20:28:49Z |
| publishDate | 2022-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-a883414de300417aab169b154635a80f2022-12-21T23:32:29ZengNature PortfolioScientific Reports2045-23222022-03-0112111010.1038/s41598-022-08897-4Interaction between a robot and Bunimovich stadium billiardsJ. V. A. Vasconcelos0L. H. Miranda-Filho1A. J. F. de Souza2A. R. de C. Romaguera3A. L. R. Barbosa4Departamento de Física, Universidade Federal Rural de PernambucoDepartamento de Física, Universidade Federal Rural de PernambucoDepartamento de Física, Universidade Federal Rural de PernambucoDepartamento de Física, Universidade Federal Rural de PernambucoDepartamento de Física, Universidade Federal Rural de PernambucoAbstract 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 $$\lambda$$ λ 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.https://doi.org/10.1038/s41598-022-08897-4 |
| spellingShingle | J. V. A. Vasconcelos L. H. Miranda-Filho A. J. F. de Souza A. R. de C. Romaguera A. L. R. Barbosa Interaction between a robot and Bunimovich stadium billiards Scientific Reports |
| 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 |
| url | https://doi.org/10.1038/s41598-022-08897-4 |
| work_keys_str_mv | AT jvavasconcelos interactionbetweenarobotandbunimovichstadiumbilliards AT lhmirandafilho interactionbetweenarobotandbunimovichstadiumbilliards AT ajfdesouza interactionbetweenarobotandbunimovichstadiumbilliards AT ardecromaguera interactionbetweenarobotandbunimovichstadiumbilliards AT alrbarbosa interactionbetweenarobotandbunimovichstadiumbilliards |