| Article | |
| Report number | arXiv:2208.11513 |
| Title | Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters |
| Related title | Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters |
| Author(s) | Bazzani, Armando (Bologna U.) ; Capoani, Federico (Bologna U. ; CERN) ; Giovannozzi, Massimo (CERN) |
| Publication | 2022-09-12 |
| Imprint | 2022-08-24 |
| Number of pages | 13 |
| In: | Phys. Rev. E 106 (2022) 034204 |
| DOI | 10.1103/PhysRevE.106.034204 (publication) |
| Subject category | physics.acc-ph ; math.DS ; Accelerators and Storage Rings ; Mathematical Physics and Mathematics |
| Abstract | In this paper, new results concerning the phenomenon of adiabatic trapping into resonance for a class of quasi-integrable maps with a time-dependent exciter are presented and discussed in detail. The applicability of the results about trapping efficiency for Hamiltonian systems to the maps considered is proven by using perturbation theory. This allows determining explicit scaling laws for the trapping properties. These findings represent a generalization of previous results obtained for the case of quasi-integrable maps with parametric modulation as well as an extension of the work by Neishtadt \textit{et al.} on a restricted class of quasi-integrable systems with time-dependent exciters. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: Published by the American Physical Society (License: CC BY 4.0) |
Corresponding record in: Inspire
Element opprettet 2022-10-12, sist endret 2023-10-04
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