When the kinematics is regular within most of the flow domain (e.g. two-dimensional autonomous flows or time-periodic protocols possessing large quasiperiodic islands) a purely diffusive scaling, α=1 settles as D→0.
The order in which node transmits its quantized values is determined by a given periodic network protocol.
Moreover, a periodic consensus protocol is obtained as a special case and it is revealed that the maximum convergence speed can be achieved by choosing suitable gains.
Chord uses periodic stabilization protocol at each node to learn about newly joined nodes, update successor and predecessor, and fix finger tables.
The feedback bit rate derived in this paper targets a periodic feedback protocol, which is more suitable for existing communication standards such as 3GPP-LTE, where a fixed number of bits in each data block of reverse links are allocated for CSI feedback.
We notice that in some experimental setups, e.g. [ 10], a periodic dilution protocol is applied for keeping the cell density constant; in our model, we keep the cell density constant by means of a continuous influx and efflux of culture medium, as in a chemostat or microfluidic device.
Periodic hopping protocols hop on all the channels according to a hopping pattern to avoid availability and congestion problems of the common control channel.
Since the delay-throughput performance of various periodic hopping protocols is similar, we select SYN-MAC and evaluate its performance in this paper.
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It is periodic for this protocol to implement its process.
