Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/49138

TítuloIteration of quadratic maps on coquaternions
Autor(es)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
Palavras-chaveBifurcations
Coquaternions
Fixed points
Iteration of quadratic maps
Periodic points
Data1-Nov-2017
EditoraWorld Scientific Publishing
RevistaInternational Journal of Bifurcation and Chaos
Resumo(s)This paper is concerned with the study of the iteration of the quadratic coquaternionic map fc(q) = q2 + c, where c is a fixed coquaternionic parameter. The fixed points and periodic points of period two are determined, revealing the existence of a type of sets of these points which do not occur in the classical complex case: sets of nonisolated points. This brings the need to consider a different concept of stability. The analysis of the stability, in this new sense, of the sets of fixed points and periodic points is performed and a discussion of certain type of bifurcations which occur, in the case of a real parameter c, is also presented.
Tipoarticle
URIhttp://hdl.handle.net/1822/49138
DOI10.1142/S0218127417300397
ISSN0218-1274
e-ISSN1793-6551
Arbitragem científicayes
AcessoembargoedAccess (1 Year)
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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