论文标题
限制环境中系统中的集体行为
Collective Behavior in Systems within Confined Environments
论文作者
论文摘要
在本文中，我们研究了由自组织定律驱动的狭窄环境中个体系统的行为。我们建议，在某些条件下，这种系统的长期行为将是全球一致性。我们研究了Felipe Cucker和Steve Smale的结果及其模型，描述了在连续和离散时间内羊群演变的演变。具体来说，我们将在有限域上描述cucker-smale的模型$ \ mathbb {r}^+$以及间隔$ [a，b] $。
In this paper, we study the behavior of systems of individuals in confined environments that are driven by laws of self-organization. We propose that, under certain conditions, the long-term behavior of such systems will be global alignment. We study the result by Felipe Cucker and Steve Smale as well as their models describing the evolution of a flock in continuous and discrete time. Specifically, we will describe the models of Cucker-Smale on bounded domains $\mathbb{R}^+$ and on the interval $[a,b]$.
