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TitleIteration of quadratic maps on coquaternions
Author(s)Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
Fixed points
Iteration of quadratic maps
Periodic points
Issue date1-Nov-2017
PublisherWorld Scientific Publishing
JournalInternational Journal of Bifurcation and Chaos
Abstract(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.
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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