论文标题
走向行为群的数学理论
Towards a mathematical theory of behavioral swarms
论文作者
论文摘要
本文提出了群体的统一数学理论，其中社会行为的动力学与自前线颗粒的机械动力学相互作用。引入了术语行为群以表征理论的特定对象，该理论随后遵循应用。作为我们统一方法的具体示例，我们表明几种具有内部变量的Cucker-Smale类型模型落在我们的框架上。随后，建模超出了cucker-smale的方法，并展望研究观点。
This paper presents a unified mathematical theory of swarms where the dynamics of social behaviors interacts with the mechanical dynamics of self-propelled particles. The term behavioral swarms is introduced to characterize the specific object of the theory which is subsequently followed by applications. As concrete examples for our unified approach, we show that several Cucker-Smale type models with internal variables fall down to our framework. Subsequently the modeling goes beyond the Cucker-Smale approach and looks ahead to research perspectives.
