Triod twist cycles and circle rotations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914216986804224 |
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| author | Bhattacharya, Sourav Yadav, Ashish |
| author_facet | Bhattacharya, Sourav Yadav, Ashish |
| contents | We study the problem of relating cycles on a \emph{triod} $Y$ to \emph{circle rotations}. We prove that the simplest cycles on a \emph{triod}~$Y$ with a given \emph{rotation number}~$ρ$, called \emph{triod--twist cycles} are conjugate, via a piece-wise monotone map of \emph{modality} at most~$m + 3$, where~$m$ is the \emph{modality} of~$P$ to the rotation on~$S^1$ by angle~$ρ$, restricted to one of its cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20147 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Triod twist cycles and circle rotations Bhattacharya, Sourav Yadav, Ashish Dynamical Systems Primary 37E05, 37E15, Secondary 37E45 We study the problem of relating cycles on a \emph{triod} $Y$ to \emph{circle rotations}. We prove that the simplest cycles on a \emph{triod}~$Y$ with a given \emph{rotation number}~$ρ$, called \emph{triod--twist cycles} are conjugate, via a piece-wise monotone map of \emph{modality} at most~$m + 3$, where~$m$ is the \emph{modality} of~$P$ to the rotation on~$S^1$ by angle~$ρ$, restricted to one of its cycles. |
| title | Triod twist cycles and circle rotations |
| topic | Dynamical Systems Primary 37E05, 37E15, Secondary 37E45 |
| url | https://arxiv.org/abs/2512.20147 |