Families of periodic delay orbits
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915551244189696 |
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| author | Albers, Peter Aretz, Philipp Seifert, Irene |
| author_facet | Albers, Peter Aretz, Philipp Seifert, Irene |
| contents | We construct and analyze families of periodic delay orbits for a class of delay differential equations in two dimensions depending on two real-valued functions. These families are parametrized by the delay parameter. It is possible to represent the dependency of these periodic delay orbits on the delay parameter by a curve in the plane, without loss of information. It turns out that the singularities of these curves necessarily are cusps in the non-degenerate case. After discussing degenerate situations in general, we explain how to glue different families of periodic delay orbits at degeneracies in the delay parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Families of periodic delay orbits Albers, Peter Aretz, Philipp Seifert, Irene Dynamical Systems We construct and analyze families of periodic delay orbits for a class of delay differential equations in two dimensions depending on two real-valued functions. These families are parametrized by the delay parameter. It is possible to represent the dependency of these periodic delay orbits on the delay parameter by a curve in the plane, without loss of information. It turns out that the singularities of these curves necessarily are cusps in the non-degenerate case. After discussing degenerate situations in general, we explain how to glue different families of periodic delay orbits at degeneracies in the delay parameter. |
| title | Families of periodic delay orbits |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2304.07550 |