A systematic coupling procedure is introduced for synchronizing arbitrary c
haotic dynamical systems. This coupling exploits the existing contraction p
roperties of the flow and surpresses divergence only along those directions
in state space, where the underlying flow is not contracting. In this way,
systems can be synchronized using a minimum of transmitted information for
guaranteed high-quality synchronization. Applications in combination with
sporadic driving and in partitioned state spaces are numerically illustrate
d.