  This paper presents the basic concepts of a systemic theory of interaction
between non-deterministic open dynamics with varying temporalities, which
includes three stages: the definition of these dynamics as lax-functors, the
notion of interaction -- which uses some notions of requests, synchronizations
and social modes (privacy) -- and finally the generation of open global
dynamics. Some connectivity structures of an interaction are defined, but the
other aspects of dynamical connectivity are left to further work.
