  It has recently been emphasized again that the very existence of stationary
stable localized structures with short range interactions might allow to store
information in non-equilibrium media, opening new perspectives on information
storage. We show how to use generalized topological entropies to measure
aspects of the quantities of storable and non-storable information. This leads
us to introduce a measure of the long term stably storable information. As a
first example to illustrate these concepts, we revisit a mechanism for the
appearance of stationary stable localized structures that is related to the
stabilization of fronts between structured and unstructured states (or between
differently structured states).
