Singularities of 3d vector fields preserving the form of Martinet
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909262457864192 |
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| author | Anastassiou, Stavros |
| author_facet | Anastassiou, Stavros |
| contents | We study the local structure of vector fields on $\mathbb{R}^3$ which preserve the Martinet $1$-form $α=(1+x)dy\pm zdz$. We present the classification of their singularities, up to diffeomorphisms preserving the form $α$, as well as their transversal unfoldings. We are thus able to provide a fairly complete list of the bifurcations such vector fields undergo. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03619 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Singularities of 3d vector fields preserving the form of Martinet Anastassiou, Stavros Dynamical Systems 37C15, 37J10, 58K45, 53D10 We study the local structure of vector fields on $\mathbb{R}^3$ which preserve the Martinet $1$-form $α=(1+x)dy\pm zdz$. We present the classification of their singularities, up to diffeomorphisms preserving the form $α$, as well as their transversal unfoldings. We are thus able to provide a fairly complete list of the bifurcations such vector fields undergo. |
| title | Singularities of 3d vector fields preserving the form of Martinet |
| topic | Dynamical Systems 37C15, 37J10, 58K45, 53D10 |
| url | https://arxiv.org/abs/2211.03619 |