Iteration of quadratic maps on matrix algebras
| dc.contributor.author | Baptista, Alexandra Nascimento | |
| dc.contributor.author | Ramos, Carlos Correia | |
| dc.contributor.author | Martins, Nuno | |
| dc.contributor.editor | Chen, Guanrong (Ron) | |
| dc.date.accessioned | 2013-01-29T11:15:32Z | |
| dc.date.available | 2013-01-29T11:15:32Z | |
| dc.date.issued | 2012-06 | |
| dc.description.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. | por |
| dc.identifier.authoremail | alexandra.nascimento@ipleiria.pt | |
| dc.identifier.authoremail | ccr@uevora.pt | |
| dc.identifier.authoremail | nmartins@math.ist.utl.pt | |
| dc.identifier.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. | por |
| dc.identifier.doi | 10.1142/S0218127412501507 | |
| dc.identifier.scientificarea | 721 | por |
| dc.identifier.sharewith | DMAT | por |
| dc.identifier.uri | http://hdl.handle.net/10174/7862 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | World Scientific Publishing Co | por |
| dc.rights | openAccess | por |
| dc.subject | Matrix dynamics | por |
| dc.subject | iterated interval maps | por |
| dc.subject | noncommuting attractive cycles | por |
| dc.title | Iteration of quadratic maps on matrix algebras | por |
| dc.type | article | por |