Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/48044
Título: | Basins of attraction for a quadratic coquaternionic map |
Autor(es): | Falcão, M. I. Miranda, Fernando Severino, Ricardo Soares, M. J. |
Palavras-chave: | Attracting cycles Basins of attraction Coquaternions Iteration of maps |
Data: | 2017 |
Editora: | Elsevier 1 |
Revista: | Chaos, Solitons and Fractals |
Resumo(s): | In this paper we consider the extension, to the algebra of coquaternions, of a complex quadratic map with a real super-attractive 8-cycle. We establish that, in addition to the real cycle, this new map has sets of non-isolated periodic points of period 8, forming four attractive 8-cycles. Here , the cycles are to be interpreted as cycles of sets and an appropriate notion of attractivity is used. Some characteristics of the basins of attraction of the five attracting 8-cycles are discussed and plots revealing the intertwined nature of these basins are shown. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/48044 |
DOI: | 10.1016/j.chaos.2017.09.016 |
ISSN: | 0960-0779 |
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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FalcaoMirandaSeverinoSoares2017-5.pdf | 1,17 MB | Adobe PDF | Ver/Abrir |