机器人与布尼莫维奇体育场台球之间的相互作用。

Interaction between a robot and Bunimovich stadium billiards.

作者信息

Vasconcelos J V A, Miranda-Filho L H, de Souza A J F, de C Romaguera A R, Barbosa A L R

机构信息

Departamento de Física, Universidade Federal Rural de Pernambuco, Rua Manoel de Medeiros, s/n - Dois Irmãos, 52171-900, Recife, Brazil.

出版信息

Sci Rep. 2022 Mar 23;12(1):4983. doi: 10.1038/s41598-022-08897-4.

DOI:10.1038/s41598-022-08897-4

PMID:35322091

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8943174/

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 [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.

摘要

机器人 - 环境 - 任务三元组提供了许多机会，让我们能用全新的视角重新审视物理问题。因此，我们开展了一个简单的实验，利用一个3.38米长的宏观装置来观察经典台球中的混沌现象。使用数码摄像机，记录机器人与具有镜面反射的布尼莫维奇体育场台球之间相互作用的动态时间演化。从实验时间序列中，我们计算李雅普诺夫指数[公式：见原文]作为一个几何参数的函数。结果与理论预测一致。此外，我们从实验数据中确定庞加莱截面，并检查其作为时间函数对初始条件的敏感性。