Geodesic
On the primary orbits of star maps (first part)
Lluis Alsedà 1   ; Jose Miguel Moreno 2
1 Departament de Matemàtiques Facultat de Ciències Universitat Autònoma de Barcelona 08193 Cerdanyola del Vallès, Barcelona, Spain
2 Departament de Matemàtica Aplicada II E.T.S.E.I.T. Universitat Politècnica de Catalunya 08222 Terrassa, Barcelona, Spain
Applicationes Mathematicae, Tome 29 (2002) no. 2, pp. 157-183 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper is the first one of a series of two, in which we characterize a class of primary orbits of self maps of the $4$-star with the branching point fixed. This class of orbits plays, for such maps, the same role as the directed primary orbits of self maps of the $3$-star with the branching point fixed. Some of the primary orbits (namely, those having at most one coloured arrow) are characterized at once for the general case of $n$-star maps.
DOI : 10.4064/am29-2-4
Keywords: paper first series which characterize class primary orbits self maps star branching point fixed class orbits plays maps role directed primary orbits self maps star branching point fixed primary orbits namely those having coloured arrow characterized once general n star maps

Lluis Alsedà  1   ; Jose Miguel Moreno  2

1 Departament de Matemàtiques Facultat de Ciències Universitat Autònoma de Barcelona 08193 Cerdanyola del Vallès, Barcelona, Spain
2 Departament de Matemàtica Aplicada II E.T.S.E.I.T. Universitat Politècnica de Catalunya 08222 Terrassa, Barcelona, Spain 
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Lluis Alsedà; Jose Miguel Moreno. On the primary orbits of star maps
 (first part). Applicationes Mathematicae, Tome 29 (2002) no. 2, pp. 157-183. doi: 10.4064/am29-2-4

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