Vulnerability and Excitation Mechanism of the Extreme Group Conflict Based on Stochastic Catastrophe Theory

Abstract

From the perspective of Stochastic Catastrophe Theory, this paper is aimed to research vulnerability and initiation mechanism of extreme group conflict under the influence of external random disturbance factors. The paper discussed vulnerable mutation characteristics based on Stochastic Catastrophe Theory. We found that Stochastic differential equation model about group conflict behavior evolution is built by adding white noise under the situation of taking external random disturbance factors into consideration. The critical area of the participant’s behavior mutation is discovered by topological transformation and mathematical analysis of the equation; at the same time, we gave the further analysis of mutation behavior about group conflict radicalizes vulnerability. Finally, we processed the simulation analysis based on a specific case. In summary, the paper shows that behaviors of participants will change suddenly jumps from the condition of nonchalance and relaxation to extreme resist and conflict when the intensity of endogenous influence factor crosses over the critical points. In addition, when the area of disagreement is affected by exogenous interference factors, unstable disturbances will occur in the behavior of participants.