Asynchronous Threshold Networks with Multisorted Signals

Abstract

An asynchronous threshold network is a network of threshold elements (agents) that operate in continuous time. The agents can be in one of two states: active or passive. An active agent generates a signal of certain sort (color) and power. This signal is received by all agents that have inputs of the same color. An agent has a potential that changes under exciting or inhibiting effects of signals; it is active only if its potential exceeds a threshold. Changes in agent activity are events that divide a continuous timeline into discrete time steps. The dependence of the behavior of an autonomous network on the values of its parameters is studied.