Repositori institucional URV
| Author, as appears in the article.: | Canela, Jordi; Garijo, Antonio; Roesch, Pascale |
| Author's mail: | antonio.garijo@urv.cat |
| Journal publication year: | 2024 |
| Publication Type: | info:eu-repo/semantics/article |
| Abstract: | In this paper we study a one parameter family of rational maps obtained by applying the Chebyshev-Halley root finding algorithms. We show that the dynamics near parameters where the family presents some degeneracy might be understood from the point of view of singular perturbations. More precisely, we relate the dynamics of those maps with the one of the McMullen family Mλ(z)=z4+λ/z2, using quasi-conformal surgery. |
| Article's DOI: | 10.48550/arXiv.2401.12374 |
| Link to the original source: | https://arxiv.org/abs/2401.12374 |
| Papper version: | info:eu-repo/semantics/submittedVersion |
| licence for use: | https://creativecommons.org/licenses/by/3.0/es/ |
| Department: | Enginyeria Informàtica i Matemàtiques |
| Funding program: | Herramientas para el análisis de diagramas de bifurcación en sistemas dinámicos |
| Funding program action: | Proyectos I+D Generación de Conocimiento |
| Acronym: | ATBiD |
| Project code: | PID2020-118281GB-C33 |
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| File | Description | Format | |
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| DocumentPrincipal | DocumentPrincipal | application/pdf |
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