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Title
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The height invariant of a four-parameter semitoric system with two focus-focus singularities
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Author
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Abstract
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| Semitoric systems are a special class of completely integrable systems with two degrees of freedom that have been symplectically classified by Pelayo and Vu Ngoc about a decade ago in terms of five symplectic invariants. If a semitoric system has several focus-focus singularities, then some of these invariants have multiple components, one for each focus-focus singularity. Their computation is not at all evident, especially in multi-parameter families. In this paper, we consider a four-parameter family of semitoric systems with two focus-focus singularities. In particular, apart from the polygon invariant, we compute the so-called height invariant. Moreover, we show that the two components of this invariant encode the symmetries of the system in an intricate way. |
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Language
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English
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Source (journal)
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Journal of nonlinear science / Kyoto University. - New York, N.Y., 1991, currens
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Publication
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New York, N.Y.
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Springer
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2021
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ISSN
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0938-8974
[print]
1432-1467
[online]
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DOI
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10.1007/S00332-021-09706-4
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Volume/pages
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31
(2021)
, 32 p.
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Article Reference
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51
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ISI
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000641858500002
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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