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http://hdl.handle.net/10174/7862
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| Title: | Iteration of quadratic maps on matrix algebras |
| Authors: | Baptista, Alexandra Nascimento
Ramos, Carlos Correia
Martins, Nuno |
| Editors: | Chen, Guanrong (Ron) |
| Keywords: | Matrix dynamics
iterated interval maps
noncommuting attractive cycles |
| Issue Date: | Jun-2012 |
| Publisher: | World Scientific Publishing Co |
| Citation: | Nascimento Baptista, Alexandra; Correia Ramos, Carlos; Martins, Nuno Iteration of quadratic maps on matrix algebras. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 22 (2012), no. 6, 1250150, 7 pp. |
| Abstract: | 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 noncommutativity of the matrix product. In particular, we show that the commutator of the initial condition with parameter matrix C has a decisive role in the overall dynamics. |
| URI: | http://hdl.handle.net/10174/7862 |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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