This network comprising functional nodes connected in series by information transmission means, in which the information assumes the form of discrete messages propagating from node to node in the network, is characterized in that the information transmission means for transmitting information between the nodes are bidirectional so as to allow information to propagate in both directions of flow of the network, and each node includes at least one first and one second associated port, for information input/output, connected to adjacent nodes by corresponding information transmission means and the operation of which is controlled by communication automaton means, between an operating mode for the asynchronous reception of information from its adjacent nodes and an operating mode for the synchronous transmission of information to the nodes adjacent thereto, and in that the communication automaton means are suitable for triggering the activation of the communication of information from the node to its adjacent nodes following the beginning (71, SOF) of the reception of information from each of them.