Publication
Title
A family of compact semitoric systems with two focus-focus singularities
Author
Abstract
About 6 years ago, semitoric systems were classified by Pelayo & Vu Ngoc by means of five invariants. Standard examples are the coupled spin oscillator on S-2 x R-2 and coupled angular momenta on S-2 x S-2, both having exactly one focus-focus singularity. But so far there were no explicit examples of systems with more than one focus-focus singularity which are semitoric in the sense of that classification. This paper introduces a 6-parameter family of integrable systems on S-2 x S-2 and proves that, for certain ranges of the parameters, it is a compact semitoric system with precisely two focus-focus singularities. Since the twisting index (one of the semitoric invariants) is related to the relationship between different focus-focus points, this paper provides systems for the future study of the twisting index.
Language
English
Source (journal)
Journal of Geometric Mechanics
Publication
2018
ISSN
1941-4889
Volume/pages
10:3(2018), p. 331-357
ISI
000443308200003
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 08.10.2018
Last edited 19.08.2021
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