Interaction Between a Robot and Bunimovich Stadium Billiards
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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-meter 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 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.
1993 ◽
Vol 74
(2)
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pp. 580-589
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2001 ◽
Vol 09
(06)
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pp. 685-702
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1990 ◽
Vol 36
(4)
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pp. 3866-3876
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2011 ◽
Vol 418-420
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pp. 1647-1653
2011 ◽
Vol 77
(779)
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pp. 2922-2931
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2005 ◽
Vol 1940
(1)
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pp. 99-109
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