基于元胞自动机的复杂系统脆性研究

Research on the brittleness of complex system based on cellular automaton

针对复杂系统进行研究,提出并论证了脆性是复杂系统的一个基本特性.定义了脆性、子系统间的脆性联系熵等概念,并将非合作博弈理论和方法引入到复杂系统脆性的研究中.同时,利用元胞自动机模拟整个复杂系统的脆性,在一个脆性基元内,指出由于基元内子系统的熵值在外界干扰过程中不断增加,而且又无法从周围环境得到负熵流的补充时,达到临界熵值会导致崩溃.

Research on a complex system, in which brittleness is one of the basic characteristics,was presented. After defining concepts of brittleness, brittle link entropy, and basic element, non-cooperative game theory and its usefulness in research on the brittleness of a complex system were explored. Cellular automaton was used to simulate the brittleness of a whole complex system. In one brittle element, the collapse of complex was due to the entropy increase of subsystems. When the subsystems cannot obtain the negative entropy from the environment, the entropy will reach a critical point of collapse.