Abstract
Abstract The dynamic behavior of p-persistent CSMA/CD is considered through application of the cusp catastrophe. Applying the cusp catastrophe, we find that the system state changes from monostable to bistable as the packet arrival rate increases for a given packet retransmission rate but not for another. In order to find an explanation for the sudden performance deterioration for one system state but not another, we examine system performance according to type of transition of the system state - the mean backlog, throughput and mean packet delay. We then consider a control strategy for avoiding drastic performance deterioration. Finally we consider the dependence of the stability of the system state on such system parameters as number of nodes and packet length.
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