Exploring the Fascinating World of Bouncing Balls: Adventures in Two Time-Dependent Billiards
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910308060102656 |
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| author | Leonel, Edson Denis |
| author_facet | Leonel, Edson Denis |
| contents | This paper explores two instances where dissipation plays a crucial role in curbing the unbounded energy growth of particles in time-dependent billiards. The first example involves an elliptical-like billiard with inelastic collisions between the particle and the boundary. This scenario introduces a fractional loss of energy upon collision, resulting in the suppression of unbounded energy growth. The second example examines an oval-like billiard, where a particle undergoes continuous energy reduction due to a viscous drag force. Both findings emerged in 2009 from collaborative research with Lyonia Bunimovich during a visit to the Georgia Institute of Technology. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_14437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exploring the Fascinating World of Bouncing Balls: Adventures in Two Time-Dependent Billiards Leonel, Edson Denis Chaotic Dynamics This paper explores two instances where dissipation plays a crucial role in curbing the unbounded energy growth of particles in time-dependent billiards. The first example involves an elliptical-like billiard with inelastic collisions between the particle and the boundary. This scenario introduces a fractional loss of energy upon collision, resulting in the suppression of unbounded energy growth. The second example examines an oval-like billiard, where a particle undergoes continuous energy reduction due to a viscous drag force. Both findings emerged in 2009 from collaborative research with Lyonia Bunimovich during a visit to the Georgia Institute of Technology. |
| title | Exploring the Fascinating World of Bouncing Balls: Adventures in Two Time-Dependent Billiards |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2401.14437 |