标题： 二维群体振子中的挫败诱导孤子和运动 显示英文标题

标题： Frustration Induced Chimeras and Motion in Two Dimensional Swarmalators

摘要： 群体振子是能够同时进行群体运动和同步的相位振子，使它们成为复制复杂动力学状态的潜在候选者。 在本工作中，我们探讨了在二维群体振子模型中，由可解的Sakaguchi-群体振子启发的相位相互作用函数中的挫折参数的影响，这些群体振子在一维环上运动。 这些模型中挫折参数的影响一直是备受关注的话题。 具有挫折的真实世界耦合系统表现出显著的集体动力学状态，突显了这项研究的相关性。 挫折参数会引发各种表现出非稳态、混沌聚类和全局平移运动的状态，其中群体振子在二维空间中自发运动。 我们研究了这些状态的特性及其对挫折参数变化的响应。 值得注意的是，混沌状态的出现表明了在相位相互作用中非稳态对于自发种群聚类的关键作用。 此外，我们还研究了相位非稳态如何影响群体振子的空间位置，并根据不同的序参量对这些状态进行了分类。 显示英文摘要

摘要： Swarmalators are phase oscillators capable of simultaneous swarming and synchronization, making them potential candidates for replicating complex dynamical states. In this work, we explore the effects of a frustration parameter in the phase interaction functions of a two-dimensional swarmalator model inspired by the solvable Sakaguchi-swarmalators that move in a one-dimensional ring. The impact of the frustration parameter in these models has been a topic of great interest. Real-world coupled systems with frustration exhibit remarkable collective dynamical states, underscoring the relevance of this study. The frustration parameter induces various states exhibiting non-stationarity, chimeric clustering, and global translational motion, where swarmalators move spontaneously in two-dimensional space. We investigate the characteristics of these states and their responses to changes in the frustration parameter. Notably, the emergence of chimeric states suggests the crucial role of non-stationarity in phase interactions for spontaneous population clustering. Additionally, we examine how phase non-stationarity influences the spatial positions of swarmalators and provide a classification of these states based on different order parameters.