Method of resynchronizing streams benefiting from circuit emulation services, for use in a packet-switched communications network

A packet-switched communications network (PSN) includes a multiplicity of nodes (Ni) adapted to switch streams of packets benefiting from circuit emulation services, known as CES packets. The network uses a particular method of resynchronizing the CES streams. According to that method, for a CES stream intended to take an associated path (CE) from an ingress node (N) passing through a set of nodes including a subset of nodes adapted to resynchronize CES streams selectively, effective resynchronization of said stream by a node selected from said subset is conditioned by a value representative of the cumulative jitter suffered by said stream as far as that node.