Publicação
Numerical range, numerical radii and the dynamics of a rational function
| Resumo: | Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational maps. In this study we use the family of maps f(x) = (x^2-a)/(x^2-b), making some associations with the matrix A of its coefficients. Calculating the numerical range W(A), the numerical radii r(A) and br(A), the boundary of the numerical range @W(A), powers and iterations, we found relations very interesting, especially with the entropy of this maps. |
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| Autores principais: | Melo, Helena Sousa |
| Outros Autores: | Cabral, João |
| Assunto: | Numerical Range Rational Function |
| Ano: | 2010 |
| País: | Portugal |
| Tipo de documento: | capítulo de livro |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade dos Açores |
| Idioma: | inglês |
| Origem: | Repositório da Universidade dos Açores |
| Resumo: | Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational maps. In this study we use the family of maps f(x) = (x^2-a)/(x^2-b), making some associations with the matrix A of its coefficients. Calculating the numerical range W(A), the numerical radii r(A) and br(A), the boundary of the numerical range @W(A), powers and iterations, we found relations very interesting, especially with the entropy of this maps. |
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