  We generalize the results of "Networks of open systems" by the first author
to the setting of hybrid systems. In particular we introduce the notions of
hybrid open systems, their networks and maps between networks. A network of
systems is a blueprint for building a larger system out of smaller subsystems
by specifying a pattern of interactions between subsystems --- an
interconnection map. Maps between networks allow us to produce maps between
complex hybrid dynamical systems by specifying maps between their subsystems
