论文标题
在资源限制下耦合的库拉莫托振荡器的同步
Synchronization of Coupled Kuramoto Oscillators under Resource Constraints
论文作者
论文摘要
可以通过研究可分析可牵引的库拉莫托模型来获取对多代理系统中同步行为的基本理解。但是，这样的模型通常与许多真实系统不同，这些系统的动态在不可忽略的资源约束下发展。在这里，我们构建了一个耦合的库拉莫托振荡器系统，该系统消耗或产生资源作为其振荡频率的函数。在高耦合时，我们观察到强烈同步的动力学，而在低耦合下，我们观察到独立的振荡器动力学，如标准库拉莫托模型所预期的那样。对于通常诱导部分同步状态的中间耦合，我们从经验上观察到（从理论上说明原因）可以在（i）及时播放顺序参数振荡的状态或（ii）同时稳定的多个多同步状态的状态中存在。 （i）或（ii）是否发生取决于振荡器分别消耗还是产生资源。与耦合的神经元和社会群体不同的系统相关，我们的研究为未来的努力奠定了重要的基础，以开发针对嵌入在稀疏资源标志的环境中的系统中的同步动力学的定量预测。
A fundamental understanding of synchronized behavior in multi-agent systems can be acquired by studying analytically tractable Kuramoto models. However, such models typically diverge from many real systems whose dynamics evolve under non-negligible resource constraints. Here we construct a system of coupled Kuramoto oscillators that consume or produce resources as a function of their oscillation frequency. At high coupling, we observe strongly synchronized dynamics, whereas at low coupling we observe independent oscillator dynamics, as expected from standard Kuramoto models. For intermediate coupling, which typically induces a partially synchronized state, we empirically observe that (and theoretically explain why) the system can exist in either (i) a state in which the order parameter oscillates in time, or (ii) a state in which multiple synchronization states are simultaneously stable. Whether (i) or (ii) occurs depends upon whether the oscillators consume or produce resources, respectively. Relevant for systems as varied as coupled neurons and social groups, our study lays important groundwork for future efforts to develop quantitative predictions of synchronized dynamics for systems embedded in environments marked by sparse resources.
