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On the primary orbits of star maps (second part: spiral orbits)

Lluís Alsedà; José Miguel Moreno — 2002

Applicationes Mathematicae

This paper is the second part of [2] and is devoted to the study of the spiral orbits of self maps of the 4-star with the branching point fixed, completing the characterization of the strongly directed primary orbits for such maps.

On the primary orbits of star maps (first part)

Lluis Alsedà; Jose Miguel Moreno — 2002

Applicationes Mathematicae

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.

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