Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499518 | Chaos, Solitons & Fractals | 2017 | 9 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
M. Irene Falcão, Fernando Miranda, Ricardo Severino, M. Joana Soares,