A note on the connectedness locus of the families of polynomials Pc(z)=zn - czn-j
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| Natura: | Artículo científico |
| Lingua: | en |
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Academia Brasileira de Ciências
2012
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| _version_ | 1876457033066086400 |
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| author | Carlos Arteaga |
| author_facet | Carlos Arteaga |
| contents | A note on the connectedness locus of the families of polynomials Pc(z)=zn - czn-j Carlos Arteaga Alexandre Alves Multidisciplinaria (Ciencias Naturales y Exactas) Julia set connectedness locus principal components hyperbolic components Let j be a positive integer. For each integer n > j we consider the connectedness locus Mn of the family of polynomials Pc Hausdorff topology, where D is the unitary closed disk {c; |c| ≤ 1}.z) = zn− cz n−j, where c is a complex parameter. We prove that limn!1 Mn = D in the Hausdorff topology, where D is the unitary closed disk {c; |c| ≤ 1}. 2012 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32721622002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.84 |
| format | Artículo científico |
| id | redalyc_32721622002 |
| institution | Redalyc |
| language | en |
| publishDate | 2012 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | A note on the connectedness locus of the families of polynomials Pc(z)=zn - czn-j Carlos Arteaga Multidisciplinaria (Ciencias Naturales y Exactas) Julia set connectedness locus principal components hyperbolic components A note on the connectedness locus of the families of polynomials Pc(z)=zn - czn-j Carlos Arteaga Alexandre Alves Multidisciplinaria (Ciencias Naturales y Exactas) Julia set connectedness locus principal components hyperbolic components Let j be a positive integer. For each integer n > j we consider the connectedness locus Mn of the family of polynomials Pc Hausdorff topology, where D is the unitary closed disk {c; |c| ≤ 1}.z) = zn− cz n−j, where c is a complex parameter. We prove that limn!1 Mn = D in the Hausdorff topology, where D is the unitary closed disk {c; |c| ≤ 1}. 2012 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32721622002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.84 |
| title | A note on the connectedness locus of the families of polynomials Pc(z)=zn - czn-j |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Julia set connectedness locus principal components hyperbolic components |
| url | https://www.redalyc.org/articulo.oa?id=32721622002 |