论文标题
集群同步的振动控制：与深脑刺激的连接
Vibrational Control of Cluster Synchronization: Connections with Deep Brain Stimulation
论文作者
论文摘要
聚类同步是大脑中各种功能的基础。聚类同步的异常模式通常与神经系统疾病有关。深脑刺激（DBS）是一种用于治疗多种脑部疾病的神经外科技术，已观察到可以调节神经元同步模式。尽管使用了广泛使用，但DBS的机制仍然很大程度上未知。在本文中，我们假设DBS起着类似于振动控制的作用，因为它们都高度依赖于高频激发来发挥作用。在Kuramoto-oscillator网络的框架下，我们研究了引入网络连接的振动如何稳定群集同步。我们得出了一些足够的条件，还提供了设计振动控制的有效方法。此外，提出了一个数值示例，以证明我们的理论发现。
Cluster synchronization underlies various functions in the brain. Abnormal patterns of cluster synchronization are often associated with neurological disorders. Deep brain stimulation (DBS) is a neurosurgical technique used to treat several brain diseases, which has been observed to regulate neuronal synchrony patterns. Despite its widespread use, the mechanisms of DBS remain largely unknown. In this paper, we hypothesize that DBS plays a role similar to vibrational control since they both highly rely on high-frequency excitation to function. Under the framework of Kuramoto-oscillator networks, we study how vibrations introduced to network connections can stabilize cluster synchronization. We derive some sufficient conditions and also provide an effective approach to design vibrational control. Also, a numerical example is presented to demonstrate our theoretical findings.
