Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters

In this paper, results concerning the phenomenon of adiabatic trapping into resonance for a class of quasi-integrable maps and Hamiltonians with a time-dependent exciter are presented and discussed in detail. The applicability of the results about trapping efficiency for Hamiltonian systems to the m...

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Detalles Bibliográficos
Autores principales: Bazzani, Armando, Capoani, Federico, Giovannozzi, Massimo
Lenguaje:eng
Publicado: 2022
Materias:
physics.acc-ph
math.DS
Accelerators and Storage Rings
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1103/PhysRevE.106.034204
http://cds.cern.ch/record/2836508
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author Bazzani, Armando
Capoani, Federico
Giovannozzi, Massimo
author_facet Bazzani, Armando
Capoani, Federico
Giovannozzi, Massimo
author_sort Bazzani, Armando
collection CERN
description In this paper, results concerning the phenomenon of adiabatic trapping into resonance for a class of quasi-integrable maps and Hamiltonians 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 makes possible to determine 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 et al. [Regul. Chaotic Dyn. 18, 686 (2013)] on a restricted class of quasi-integrable systems with time-dependent exciters.
id cern-2836508
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
record_format invenio
spelling cern-28365082023-10-04T06:33:57Zdoi:10.1103/PhysRevE.106.034204http://cds.cern.ch/record/2836508engBazzani, ArmandoCapoani, FedericoGiovannozzi, MassimoAnalysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent excitersphysics.acc-phmath.DSAccelerators and Storage RingsMathematical Physics and MathematicsIn this paper, results concerning the phenomenon of adiabatic trapping into resonance for a class of quasi-integrable maps and Hamiltonians 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 makes possible to determine 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 et al. [Regul. Chaotic Dyn. 18, 686 (2013)] on a restricted class of quasi-integrable systems with time-dependent exciters.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.arXiv:2208.11513oai:cds.cern.ch:28365082022-08-24
spellingShingle physics.acc-ph
math.DS
Accelerators and Storage Rings
Mathematical Physics and Mathematics
Bazzani, Armando
Capoani, Federico
Giovannozzi, Massimo
Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
title Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
title_full Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
title_fullStr Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
title_full_unstemmed Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
title_short Analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
title_sort analysis of adiabatic trapping phenomena for quasi-integrable area-preserving maps in the presence of time-dependent exciters
topic physics.acc-ph
math.DS
Accelerators and Storage Rings
Mathematical Physics and Mathematics
url https://dx.doi.org/10.1103/PhysRevE.106.034204
http://cds.cern.ch/record/2836508
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AT capoanifederico analysisofadiabatictrappingphenomenaforquasiintegrableareapreservingmapsinthepresenceoftimedependentexciters
AT giovannozzimassimo analysisofadiabatictrappingphenomenaforquasiintegrableareapreservingmapsinthepresenceoftimedependentexciters

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