Model Analysis And Development Of Self-organized Criticality

Fish swarm swimming,birds swarm flying crowd activities and other amazing phenomena or movements widely existing in nature or social field are swarm movements that evolve into critical state of complex system through individual voluntary movement.Moreover,when the system is in a critical state,a few individuals who have access to external information can change the trajectory or decision-making direction of the whole group.The theory of self-organized criticality(SOC)in complex systems provides theoretical support for the interpretation of the above phenomena or motions.Therefore,on the basis of this theoretical achievement,the intrinsic mechanism and state characteristics of self-organized critical system are further explored through model simulation and analysis,so as to deepen the cognition of cluster motion-related problems of complex systems.The main research work is as follows:First,on the basis of Vicsek model and SAC rule updating the running trajectory of each individual in the group,the order parameter is selected as a measure of whether the group has reached the self-organized critical state,and the dynamic process of the evolution of the system to the self-organized critical state is simulated under certain initial conditions.Secondly,combined with the above simulation process and evolution rules,the factors influencing the critical state of the system are analyzed.According to the model,three influencing factors of particle motion speed,interaction radius and motion time length were extracted.Under the condition of keeping two of them unchanged,their effects on the evolution of the system to the critical state and appropriate parameter ranges were explored one by one,as well as the differences in the effects of the three factors.Thirdly,the perturbation analysis when the system is in the critical state.The initial conditions of the model are set according to the parameter interval,so that after the system evolves to the critical state,a small number of individuals acquiring new information are gradually increased to observe the operation change of the whole population,and then the minimum number of individuals changing the system state or decision-making is determined.The results show that the longer the disturbance is applied,the more efficient the disturbance information is to change the state of the group.Finally,based on the above model analysis and research,select B/S mode,adopt HTML+CSS+JavaScript technology stack and graphics tool echarts plug-in to design and develop the self-organizing critical demo system,and realize the corresponding simulation and analysis function.Through the analysis and research of the self-organized critical characteristic model,the paper further explores how many individuals running autonomously form the rule of cluster movement,and the characteristic that the group can effectively improve the decision-making efficiency of the whole system when the group is in the critical state,which provides the related technical basis for the understanding of such phenomenon or movement.In order to fit in with the actual situation,it is necessary to further develop the system model parameter diversification and practical application.