Lizárraga Joao U F, de Aguiar Marcus A M
Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, Unicamp 13083-970, Campinas, São Paulo, Brazil.
Phys Rev E. 2023 Aug;108(2-1):024212. doi: 10.1103/PhysRevE.108.024212.
Swarmalators are phase oscillators that cluster in space, like fireflies flashing in a swarm to attract mates. Interactions between particles, which tend to synchronize their phases and align their motion, decrease with the distance and phase difference between them, coupling the spatial and phase dynamics. In this work, we explore the effects of inducing phase frustration on a system of swarmalators that move on a one-dimensional ring. Our model is inspired by the well-known Kuramoto-Sakaguchi equations. We find, numerically and analytically, the ordered and disordered states that emerge in the system. The active states, not present in the model without frustration, resemble states found previously in numerical studies for the two-dimensional swarmalators system. One of these states, in particular, shows similarities to turbulence generated in a flattened media. We show that all ordered states can be generated for any values of the coupling constants by tuning the phase frustration parameters only. Moreover, many of these combinations display multistability.
群体振荡器是在空间中聚集的相位振荡器，就像一群萤火虫闪烁以吸引配偶一样。粒子之间的相互作用倾向于使它们的相位同步并使它们的运动对齐，这种相互作用会随着它们之间的距离和相位差而减小，从而将空间动力学和相位动力学耦合起来。在这项工作中，我们探索了在一维环上运动的群体振荡器系统中引入相位挫折的影响。我们的模型受到著名的仓本-坂口方程的启发。我们通过数值和解析方法发现了系统中出现的有序和无序状态。在没有挫折的模型中不存在的活跃状态，类似于先前在二维群体振荡器系统的数值研究中发现的状态。特别是其中一种状态，与在扁平介质中产生的湍流有相似之处。我们表明，仅通过调整相位挫折参数，就可以为耦合常数的任何值生成所有有序状态。此外，这些组合中的许多都表现出多稳定性。
