  Covariant Lyapunov vectors for scale-free networks of Henon maps are highly
localized. We revealed two mechanisms of the localization related to full and
phase cluster synchronization of network nodes. In both cases the localization
nodes remain unaltered in course of the dynamics, i.e., the localization is
nonwandering. Moreover this is predictable: the localization nodes are found to
have specific dynamical and topological properties and they can be found
without computing of the covariant vectors. This is an example of explicit
relations between the system topology, its phase space dynamics, and the
associated tangent space dynamics of covariant Lyapunov vectors.
