In one aspect, machines in a managed network implements a set of rules that cause individual machines to directly interact with only a small number of machines in the network (i.e., a local neighborhood within the network), while the independent local actions of the individual machines collectively cause the individual machines to be self-organized into one or more communication orbits without any global control or coordination by a server or an administrator. The communication orbits are used for supporting network, security and system management communications in the managed network.