标题： 群体振子在1D环上的集体行为 显示英文标题

标题： Collective behaviour of swarmalators on a 1D ring

摘要： 我们研究了群体振子的集体行为，这些是相位振荡器的推广，它们既能同步又能聚集，并被限制在1D环上移动。 这个简单的模型捕捉了二维或三维运动的一些本质，但具有可解的优点：大多数集体状态及其分岔可以精确指定。 该模型还捕捉了现实世界中在准1D环上聚集的群体振子的行为，例如边税精液和醋鳗。 显示英文摘要

摘要： We study the collective behavior of swarmalators, generalizations of phase oscillators that both sync and swarm, confined to move on a 1D ring. This simple model captures some of the essence of movement in 2D or 3D but has the benefit of being solvable: most of the collective states and their bifurcations can be specified exactly. The model also captures the behavior of real-world swarmalators which swarm in quasi-1D rings such as bordertaxic sperm and vinegar eels.