Iteration of quadratic maps on matrix algebras

We study the iteration of a quadratic family in the algebra of 2 × 2 real matrices, parameterized by a matrix C. We analyze and classify the existing cycles (periodic orbits) and their dependence on the parameter matrix. We discuss how new dynamical phenomena occur as a consequence of the noncommuta...

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Detalhes bibliográficos
Autor principal: Baptista, Alexandra Nascimento (author)
Outros Autores: Ramos, Carlos Correia (author), Martins, Nuno (author)
Formato: article
Idioma:eng
Publicado em: 2013
Assuntos:
Texto completo:http://hdl.handle.net/10174/7862
País:Portugal
Oai:oai:dspace.uevora.pt:10174/7862