Joining polynomial and exponential combinatorics for some entire maps
Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Moreno Rocha, Mónica (Centro de Investigación en Matemáticas (Guanajuato, México))

Date:	2010
Abstract:	We consider families of entire transcendental maps given by Fλ,m (z) = λzm exp (z) where m ≥ 2. All these maps have a superattracting fixed point at z = 0 and a free critical point at z = −m. In parameter planes we focus on the capture zones, i. e. , we consider λ values for which the free critical point belongs to the basin of attraction of z = 0. We explain the connection between the dynamics near zero and the dynamics near infinity at the boundary of the immediate basin of attraction of the origin, thus, joining together exponential and polynomial behaviors in the same dynamical plane.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Julia sets ; Polynomial-like maps ; Combinatorial dynamics
Published in:	Publicacions matemàtiques, V. 54 n. 1 (2010) p. 113-136, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/154819
DOI: 10.5565/PUBLMAT_54110_06

24 p, 710.2 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles