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Diffusion and chaos in a bouncing ball model
| dc.contributor.author | Maró, Stefano | |
| dc.date.accessioned | 2024-01-19T09:28:53Z | |
| dc.date.available | 2024-01-19T09:28:53Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Zeitschrift für angewandte Mathematik und Physik, 71 (78) (2020);doi:10.1007/s00033-020-01300-0 | |
| dc.identifier.uri | https://hdl.handle.net/10651/70905 | |
| dc.description.abstract | We consider the vertical motion of a free falling ball bouncing elastically on a racket moving in the vertical direction according to a regular periodic function f. We give a sufficient condition on the second derivative of f giving motions with arbitrarily large amplitude and chaotic dynamics in the sense of positive entropy. We get the results by breaking many invariant curves of the corresponding map using converse KAM techniques. | spa |
| dc.description.sponsorship | This work has been supported by the PRIN Project “Regular and stochastic behaviour in dynamical systems”, funded by the Ministry of Education, University and Scientific Research of Italy with the Identification No. 2017S35EHN. | spa |
| dc.language.iso | eng | spa |
| dc.publisher | Springer Nature | spa |
| dc.relation.ispartof | Zeitschrift fur Angewandte Mathematik und Physik, 71(3) | spa |
| dc.rights | Esta versión del artículo ha sido aceptada para publicación, después de la revisión por pares y está sujeta a los términos de uso AM de Springer Nature. La versión del registro está disponible en línea en: https://dx.doi.org/10.1007/s00033-020-01300-0 | |
| dc.rights | © Springer Nature | |
| dc.title | Diffusion and chaos in a bouncing ball model | spa |
| dc.type | journal article | spa |
| dc.identifier.doi | 10.1007/s00033-020-01300-0 | |
| dc.relation.projectID | 2017S35EHN | spa |
| dc.relation.publisherversion | https://dx.doi.org/10.1007/s00033-020-01300-0 | |
| dc.rights.accessRights | open access | spa |
| dc.type.hasVersion | AM | spa |
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