具有距离相关通信时延的大规模群体的环面分岔
Torus bifurcations of large-scale swarms having range dependent communication delay
摘要：
群集的动态涌现模式现在在自然界中已经相当好地建立起来，包括群集和旋转状态。最近，在工程和物理学领域，人们对创建人工自推进代理人产生了极大的兴趣，这些代理人通过网络进行通信，并以简单的规则进行操作，其目标是创建紧急的自组织群模式。在本文中，我们表明，当通信网络具有范围依赖的延迟，旋转状态，这是典型的周期性，经历了分叉，并创建一个环面上的群体动力学。观察到的分叉产生额外的频率到动态，这可能会导致准周期行为的群体。
英文摘要：
Dynamical emergent patterns of swarms are now fairly well established in nature, and include flocking and rotational states. Recently, there has been great interest in engineering and physics to create artificial self-propelled agents that communicate over a network and operate with simple rules, with the goal of creating emergent self-organizing swarm patterns. In this paper, we show that when communicating networks have range dependent delays, rotational states which are typically periodic, undergo a bifurcation and create swarm dynamics on a torus. The observed bifurcation yields additional frequencies into the dynamics, which may lead to quasi-periodic behavior of the swarm.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
