| Autor: |
Marò, Stefano |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Bollettino dell'Unione Matematica Italiana, 2023, 16(2), pp. 397-409 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s40574-022-00339-3 |
| Popis: |
We consider the vertical motion of a free falling ball bouncing elastically on a racket moving in the vertical direction according to a regular $1$-periodic function $f$. For fixed coprime $p,q$ we study existence, stability in the sense of Lyapunov and multiplicity of $p$ periodic motions making $q$ bounces in a period. If $f$ is real analytic we prove that one periodic motion is unstable and give some information on the set of these motions. |
| Databáze: |
arXiv |
| Externí odkaz: |
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