  The permutation binary neural networks are characterized by global
permutation connections and local binary connections. Although the parameter
space is not large, the networks exhibit various binary periodic orbits. Since
analysis of all the periodic orbits is not easy, we focus on globally stable
binary periodic orbits such that almost all initial points fall into the
orbits. For efficient analysis, we define the standard permutation connection
that represents multiple equivalent permutation connections. Applying the brute
force attack to 7-dimensional networks, we present the main result: a list of
standard permutation connections for all the globally stable periodic orbits.
These results will be developed into detailed analysis of the networks and its
engineering applications.
