GLOBAL COUPLING OF AN INTEREFACE PROBLEM IN AN ACTIVATIOR—INHIBITOR SYSTEM
An activatior-inhibitor reaction system with global coupling was intro-duced in [1],The authors showed that global coupling suppresses the breathing motion and enhances the propagation of the localized solution.The collision between two trav-eling waves for a sufficiently strong global coupling is discussed in [2].If the width of layers is infinitesimally thin,the equation of motion for a pair of the interfaces is derived.We shall study the dynamics of interfaces in the free boundary problem with global coupling and with a strong global coupling.
The authors develop expressions for predicting contention delay for wormhole-routed 2-D mesh multicomputers. The detrimental effect of contention caused by interference within jobs has led them to analyze two different kinds of communication contention. Starting contention occurs when a processor attempts to access the network at the first hop on its route from the source to destination. Intermediate contention has different characteristics, and is the contention facing a communication path as the message arrives at intermediate nodes on its path from its source to destination. They describe how their expressions are developed and relate them to the problem of evaluating interference within a job assigned to a multicomputer. >