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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Bibliographic Details
Main Author: Baptista, Alexandra Nascimento (author)
Other Authors: Ramos, Carlos Correia (author), Martins, Nuno (author)
Format: article
Language:eng
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/10174/7862
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/7862