dc.contributor.author
Brugués, J.
dc.contributor.author
Hohloch, S.
dc.contributor.author
Mir, P.
dc.contributor.author
Miranda, E.
dc.date.accessioned
2023-08-28T10:26:07Z
dc.date.accessioned
2024-09-19T14:35:57Z
dc.date.available
2023-08-28T10:26:07Z
dc.date.available
2024-09-19T14:35:57Z
dc.date.issued
2023-07-20
dc.identifier.uri
http://hdl.handle.net/2072/536844
dc.description.abstract
In this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate the distinctive characteristics of these systems. A b-semitoric system is a four-dimensional b-integrable system that satisfies certain conditions: one of its momentum map components is proper and generates an effective global S1-action and all singular points are non-degenerate and devoid of hyperbolic components. To illustrate this concept, we provide five examples of b-semitoric systems by modifying the coupled spin oscillator and the coupled angular momenta, and we also classify their singular points. Additionally, we describe the dynamics of these systems through the image of their respective momentum maps. © 2023 Author(s).
eng
dc.description.sponsorship
The authors wish to acknowledge the support provided by several research projects and institutions: J. Brugués was fully and S. Hohloch was partially funded by the FWO-FNRS Excellence of Science project (Project No. G0H4518N) “Symplectic techniques in differential geometry” with UA Antigoon Project-ID 36584. P. Mir was funded, in part, by Doctoral INPhINIT-RETAINING Grant No. 100010434 LCF/BQ/DR21/11880025 of “La Caixa” Foundation. J. Brugués, P. Mir, and E. Miranda were partially supported by the Spanish State Research Agency AEI via Grant No. PID2019-103849GB-I00 of MCIN/AEI/10.13039/501100011033 and by the Generalitat de Catalunya (AGAUR) via grant 2021. SGR 00603. E. Miranda was supported by the Catalan Institution for Research and Advanced Studies via a 2021 ICREA Academia Prize and by the Spanish State Research Agency through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (Project No. CEX2020-001084-M).
dc.format.extent
39 p.
cat
dc.publisher
American Institute of Physics Inc.
cat
dc.relation.ispartof
Journal of Mathematical Physics
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Symplectic Geometry ; Mathematical Physics; Dynamical Systems
cat
dc.title
Constructions of b-semitoric systems
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/submittedVersion
cat
dc.identifier.doi
10.1063/5.0152551
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
