论文标题
大规模群的圆环分叉具有范围依赖的通信延迟
Torus bifurcations of large-scale swarms having range dependent communication delay
论文作者
论文摘要
现在，群体的动态新兴模式在自然界已经相当良好，包括羊群和旋转状态。最近，人们对工程和物理学引起了极大的兴趣，他们创建了通过网络通过网络进行交流并使用简单规则运行的人工自行型代理，目的是创建新兴的自组织群体模式。在本文中，我们表明，当通信网络具有相关范围延迟时，通常是周期性的旋转状态，进行分叉并在圆环上创建群体动力学。观察到的分叉会导致动力学的其他频率，这可能导致群的准周期行为。
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.
