Singular perturbations of zⁿ with a pole on the unit circle
Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
Marotta, Sebastian M. (University of the Pacific. Department of Mathematics (USA))

Date:	2010
Abstract:	We consider the family of complex maps given by fλ,a (z) = z n + λ/(z − a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a.
Grants:	Ministerio de Ciencia y Tecnología MTM2005-02139 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-01028
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Rational Map ; Iteration ; Julia set ; Fatou set
Published in:	Journal of Difference Equations and Applications, Vol. 16, Issue 5-6 (May 2010) , p. 573-595, ISSN 1563-5120

DOI: 10.1080/10236190903257842

Postprint 27 p, 761.6 KB

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