Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/49138
Título: | Iteration of quadratic maps on coquaternions |
Autor(es): | Falcão, M. I. Miranda, Fernando Severino, Ricardo Soares, M. J. |
Palavras-chave: | Bifurcations Coquaternions Fixed points Iteration of quadratic maps Periodic points |
Data: | 1-Nov-2017 |
Editora: | World Scientific Publishing |
Revista: | International Journal of Bifurcation and Chaos |
Resumo(s): | This paper is concerned with the study of the iteration of the quadratic coquaternionic map fc(q) = q2 + c, where c is a fixed coquaternionic parameter. The fixed points and periodic points of period two are determined, revealing the existence of a type of sets of these points which do not occur in the classical complex case: sets of nonisolated points. This brings the need to consider a different concept of stability. The analysis of the stability, in this new sense, of the sets of fixed points and periodic points is performed and a discussion of certain type of bifurcations which occur, in the case of a real parameter c, is also presented. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/49138 |
DOI: | 10.1142/S0218127417300397 |
ISSN: | 0218-1274 |
e-ISSN: | 1793-6551 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals DMA - Artigos (Papers) NIPE - Artigos em Revistas de Circulação Internacional com Arbitragem Científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FalcaoMirandaSeverinoSoares2017-6.pdf | 1,43 MB | Adobe PDF | Ver/Abrir |