Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps
We consider the family of transcendental entire maps given by fa (z) = a(z - (1 - a)) exp(z + a) where a is a complex parameter. Every map has a superattracting fixed point at z = -a and an asymptotic value at z = 0. For a.
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150407 |
| Acesso em linha: | https://ddd.uab.cat/record/150407 https://dx.doi.org/urn:doi:10.4064/fm214-2-3 |
| Access Level: | acceso abierto |
| Palavra-chave: | Transcendental entire maps Julia set Non-landing hairs Indecomposable continua |
| Resumo: | We consider the family of transcendental entire maps given by fa (z) = a(z - (1 - a)) exp(z + a) where a is a complex parameter. Every map has a superattracting fixed point at z = -a and an asymptotic value at z = 0. For a. |
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