Normalisation of the smooth focus–focus: a simple proof
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2013/02/14
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Journal
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Indian UGC (journal)
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Refrences5
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Citations7
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Marc Chaperon
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Géométrie différentielle et singularités de systèmes dynamiques | 1986 | |||
| Astérisque | 1983 | |||
| Vũ Ngọc, S., Wacheux, C.: Smooth normal forms for integrable Hamiltonian systems near a focus–focus singularity. Acta. Math. Vietnam (2013). doi: 10.1007/s403406-013-0012-5 | Acta Mathematica Vietnamica |
| 2013 | |
| Eliasson, L.H.: Hamiltonian systems with Poisson commuting integrals. Ph.D. Thesis, University of Stockholm (1984) | ||||
| Chaperon, M.: Propriétés génériques des germes d’actions différentiables de groupes de Lie commutatifs élémentaires. Thèse d’État, Université de Paris 7 (1980) |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Vũ Ngọc’s conjecture on focus-focus singular fibers with multiple pinched points | Journal of Fixed Point Theory and Applications |
| 2024 | |
Constructions of b-semitoric systems | Journal of Mathematical Physics |
| 2023 | |
Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems | Memoirs of the American Mathematical Society |
| 2023 | |
A Family of Semitoric Systems with Four Focus–Focus Singularities and Two Double Pinched Tori | Journal of Nonlinear Science |
| 2 | 2021 |
| Rigidity of cotangent lifts and integrable systems | Journal of Geometry and Physics |
| 2 | 2020 |
Citations Analysis
The category
Science: Mathematics 7
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Local normal forms of smooth weakly hyperbolic integrable systems and was published in 2016. The most recent citation comes from a 2024 study titled Vũ Ngọc’s conjecture on focus-focus singular fibers with multiple pinched points. This article reached its peak citation in 2023, with 2 citations. It has been cited in 7 different journals. Among related journals, the Journal of Fixed Point Theory and Applications cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.