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Chaotic dynamics of a bouncing coin

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 نشر من قبل Ki Yeun Kim
 تاريخ النشر 2016
  مجال البحث
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 تأليف Ki Yeun Kim




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We study the dynamics of a bouncing coin whose motion is restricted to the two-dimensional plane. Such coin model is equivalent to the system of two equal masses connected by a rigid rod, making elastic collisions with a flat boundary. We first describe the coin system as a point billiard with a scattering boundary. Then we analytically verify that the billiard map acting on the two disjoint sets produces a Smale horseshoe structure. We also prove that any random sequence of coin collisions can be realized by choosing an appropriate initial condition.



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