Example of simplest bifurcation diagram for a monotone family of vector fields on a torus
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866929222501531648 |
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| author | Baesens, Claude Homs-Dones, Marc MacKay, Robert S. |
| author_facet | Baesens, Claude Homs-Dones, Marc MacKay, Robert S. |
| contents | We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of "simplest" diagrams proposed by Baesens & MacKay (2018 Nonlinearity 31 2928--81). This shows that the proposed class is realisable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_04031 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Example of simplest bifurcation diagram for a monotone family of vector fields on a torus Baesens, Claude Homs-Dones, Marc MacKay, Robert S. Dynamical Systems Classical Analysis and ODEs 37E35, 37Gxx, 34C23 We present an example of a monotone two-parameter family of vector fields on a torus whose bifurcation diagram we demonstrate to be in the class of "simplest" diagrams proposed by Baesens & MacKay (2018 Nonlinearity 31 2928--81). This shows that the proposed class is realisable. |
| title | Example of simplest bifurcation diagram for a monotone family of vector fields on a torus |
| topic | Dynamical Systems Classical Analysis and ODEs 37E35, 37Gxx, 34C23 |
| url | https://arxiv.org/abs/2207.04031 |