摘要： Social system is full of complexity, of stochastic dynamic, of criticality, of random diversity and of irrationality, which makes corresponding results hardly to be discovered. In this paper, we focus on drawing a conclusion of the invariant distribution of collective irrational behavior and the characteristics of critical phase transition in the process of system emergence due to the interaction between individuals. We also care about, if several order parameters of the system or environment changes, how the law of the collective behavior state and evolution state would change. Based on our analysis, seven preset conclusions in the aspects of local structure, individual properties and behavior, interaction rules, and environmental changes in complex adaptive systems are proposed.