FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS

We consider the family of functions ¦l(z) = exp(ilz), l real. With the help of MATLAB computations, we show ¦l has a unique attracting fixed point for several values of l. We prove there is no attracting periodic orbit of period n ³ 2

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Autores principales: BLABAC,ERIC, PETERS,JUSTIN
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2005
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300003
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spelling oai:scielo:S0716-091720050003000032006-03-10FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPSBLABAC,ERICPETERS,JUSTINWe consider the family of functions ¦l(z) = exp(ilz), l real. With the help of MATLAB computations, we show ¦l has a unique attracting fixed point for several values of l. We prove there is no attracting periodic orbit of period n ³ 2info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.24 n.3 20052005-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300003en10.4067/S0716-09172005000300003
institution Scielo Chile
collection Scielo Chile
language English
description We consider the family of functions ¦l(z) = exp(ilz), l real. With the help of MATLAB computations, we show ¦l has a unique attracting fixed point for several values of l. We prove there is no attracting periodic orbit of period n ³ 2
author BLABAC,ERIC
PETERS,JUSTIN
spellingShingle BLABAC,ERIC
PETERS,JUSTIN
FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS
author_facet BLABAC,ERIC
PETERS,JUSTIN
author_sort BLABAC,ERIC
title FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS
title_short FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS
title_full FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS
title_fullStr FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS
title_full_unstemmed FIXED POINTS OF A FAMILY OF EXPONENTIAL MAPS
title_sort fixed points of a family of exponential maps
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2005
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300003
work_keys_str_mv AT blabaceric fixedpointsofafamilyofexponentialmaps
AT petersjustin fixedpointsofafamilyofexponentialmaps
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