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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| Other Authors: | , , |
| Format: | article |
| Language: | eng |
| Published: |
2017
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1822/48044 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/48044 |
| Summary: | 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. |
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