  The complex Ginzburg--Landau equation serves as a paradigm of pattern
formation and the existence and stability properties of Ginzburg--Landau
$m$-armed spiral waves have been investigated extensively. However, many
multi-armed spiral waves are unstable and thereby rarely visible in experiments
and numerical simulations. In this article we selectively stabilize certain
significant classes of unstable spiral waves within circular and spherical
geometries. As a result, stable spiral waves with an arbitrary number of arms
are obtained for the first time. Our tool for stabilization is the
symmetry-breaking control triple method, which is an equivariant generalization
of the widely applied Pyragas control to the setting of PDEs.
