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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-4,
author = {Lluis Alsed\`a and Jose Miguel Moreno},
title = {On the primary orbits of star maps (first part)},
journal = {Applicationes Mathematicae},
volume = {29},
year = {2002},
pages = {157-183},
zbl = {1011.37022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-4}
}
Lluis Alsedà; Jose Miguel Moreno. On the primary orbits of star maps (first part). Applicationes Mathematicae, Tome 29 (2002) pp. 157-183. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-4/