突现是复杂系统的重要特性之一,但目前在突现行为的起因方面缺乏明确的理论依据.以Swarm模型为研究对象,为便于理论分析,首先给出了该模型的具体定义.选取了适当的动力学特征,引入Swarm能量属性,发现在特定条件下发生突现行为后,各动力学参量均方差具有一定的取值范围.随后通过仿真实验验证了这一结论的合理性.结果表明,在特定条件下,通过设定初始状态及模型参数,可以有效约束Swarm模型的整体行为.
Emergence is one of the important characteristics of complex systems.At present,there is no definite conclusion on what emergence is and how it happens.Swarm model is selected for theoretical research.For convenience of doing so,its specific definition is given,and then the kinetic properties of this model are analyzed.By viewing the energy property,it is proven that under special circumstances the mean square deviation of each kinetic parameter would fall into a certain value space.Experimental results show that under certain conditions,by setting the initial state and parameters of the control equations,the behavior of Swarm can be effectively constrained.