title: A development scenario connecting the ternary symmetric horseshoe with the binary horseshoe.
abstract: It is explained in which way the ternary symmetric horseshoe can be obtained along a development scenario starting with a binary horseshoe. We explain the case of a complete ternary horseshoe in all detail and then give briefly some further incomplete cases. The key idea is to start with a three degrees of freedom system with a rotational symmetry, reduce the system with the help of the conserved angular momentum to one with two degrees of freedom where the value of the conserved angular momentum acts as a parameter and then let its value go to zero.
authors.affiliation: Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico.
authors.forename: F
authors.initials: F
authors.lastname: Gonzalez
authors.affiliation: Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico.
authors.forename: C
authors.initials: C
authors.lastname: Jung