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Title
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A family of semitoric systems with four focus-focus singularities and two double pinched tori
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Author
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Abstract
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| We construct a one-parameter family F-t = (J, H-t)(0 <= t <= 1) of integrable systems on a compact 4-dimensional symplectic manifold (M, omega) that changes smoothly from a toric system F-0 with eight elliptic-elliptic singular points via toric type systems to a semitoric system F-t for t(-) < t < t(+). These semitoric systems F-t have precisely four elliptic-elliptic and four focus-focus singular points. Moreover, at t = 1/2, the system has precisely two focus-focus fibres each of which contains exactly two focus-focus points, giving these fibres the shape of double pinched tori. We exemplarily parametrise one of these fibres explicitly. |
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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/S00332-021-09703-7
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Volume/pages
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31
:4
(2021)
, 56 p.
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Article Reference
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66
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ISI
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000655970100001
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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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