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Control of Collective Dynamics in Neural Populations

出版	Universität Potsdam, 2024
URL	http://books.google.com.hk/books?id=9LBZ0QEACAAJ&hl=&source=gbs_api

註釋Synchronization is an emergent phenomenon in complex systems that characterizes a self-organized transition from disorder to order. It can be found across various time scales in many natural scenarios and engineering applications. This dissertation contributes to the theory of control and analysis of synchronization in networks of coupled oscillators. Motivated by the treatment technique of Deep Brain Stimulation in neuroscience, this dissertation's first part is devoted to effectively desynchronizing a population of oscillators using precisely timed stimulation. In the first approach, we model pathological synchronization by a partially synchronized state in a population of Kuramoto phase oscillators and analytically determine the most vulnerable phases for applying charge-balanced pulsatile stimulation. However, as comprehensive knowledge of a system's microscopic specifics is unlikely in real-world systems, we also study the inference of macroscopic quantities relevant for identifying vulnerable phases from scalar observations. ...