Basins of attraction for a quadratic coquaternionic map

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...

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Bibliographic Details
Main Author: Falcão, M. I. (author)
Other Authors: Miranda, Fernando (author), Severino, Ricardo (author), Soares, M. J. (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/1822/48044
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/48044