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TitleBasins of attraction for a quadratic coquaternionic map
Author(s)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
KeywordsAttracting cycles
Basins of attraction
Iteration of maps
Issue date2017
JournalChaos, Solitons and Fractals
Abstract(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.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals
DMA - Artigos (Papers)
NIPE - Artigos em Revistas de Circulação Internacional com Arbitragem Científica

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