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https://hdl.handle.net/1822/83464| Título: | Dynamics of the coquaternionic maps x^2 + bx |
| Autor(es): | Falcão, M. I. Miranda, Fernando Severino, Ricardo Soares, M. J. |
| Palavras-chave: | Coquaternionic polynomials Coquaternions Fixed points Iteration of quadratic maps |
| Data: | 2023 |
| Editora: | Springer |
| Revista: | Rendiconti del Circolo Matematico di Palermo |
| Citação: | Falcão, M. I., Miranda, F., Severino, R., & Soares, M. J. (2022, January 25). Dynamics of the coquaternionic maps x2 + bx. Rendiconti del Circolo Matematico di Palermo Series 2. Springer Science and Business Media LLC. http://doi.org/10.1007/s12215-021-00715-6 |
| Resumo(s): | This paper deals with the dynamics of the one-parameter family of coquaternionic quadratic maps x2+ bx. By making use of recent results for the zeros of one-sided coquaternionic polynomials, the fixed points are analytically determined. The stability of these fixed points is also addressed, where, in some cases, due to the appearance of sets of non-isolated points, a suitably adapted notion of stability is used. The results obtained show clearly that this family is not dynamically equivalent to the simpler family x2+ c previously studied by the authors. Some numerical examples of other dynamics beyond fixed points are also presented. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/83464 |
| DOI: | 10.1007/s12215-021-00715-6 |
| ISSN: | 0009-725X |
| e-ISSN: | 1973-4409 |
| Versão da editora: | https://doi.org/10.1007/s12215-021-00715-6 |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: | NIPE - Artigos em Revistas de Circulação Internacional com Arbitragem Científica |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| FalcaoMirandaSeverinoSoares2021.pdf | 578,01 kB | Adobe PDF | Ver/Abrir |
