  In this paper the dynamics of free gauge fields in Bianchi type I-VII$_{h}$
space-times is investigated. The general equations for a matter sector
consisting of a $p$-form field strength ($p\,\in\,\{1,3\}$), a cosmological
constant ($4$-form) and perfect fluid in Bianchi type I-VII$_{h}$ space-times
are computed using the orthonormal frame method. The number of independent
components of a $p$-form in all Bianchi types I-IX are derived and, by means of
the dynamical systems approach, the behaviour of such fields in Bianchi type I
and V are studied. Both a local and a global analysis are performed and strong
global results regarding the general behaviour are obtained. New self-similar
cosmological solutions appear both in Bianchi type I and Bianchi type V, in
particular, a one-parameter family of self-similar solutions,"Wonderland
($\lambda$)" appears generally in type V and in type I for $\lambda=0$.
Depending on the value of the equation of state parameter other new stable
solutions are also found ("The Rope" and "The Edge") containing a purely
spatial field strength that rotates relative to the co-moving inertial tetrad.
Using monotone functions, global results are given and the conditions under
which exact solutions are (global) attractors are found.
