演講者：陳冠維博士
              國家理論科學研究中心

日   期：2024 年 11 月 20 日（星期三）13:30

地   點：國立高雄大學理學院 408 室

講   題：Collective Oscillations and the Coherent Behaviors in Coupled Systems

摘   要：In this talk, we start with a simple example of two coupled phase oscillators. For this example, stable phase-locking occurs if the coupling strength is sufficiently large. We then consider an example of two Stuart-Landau oscillators under diffusive coupling and address the bifurcation diagram using the software AUTO. To explore the oscillatory dynamics theoretically, we transform the coupled system in polar coordinates, i.e., add amplitude variables to the phase oscillators in the most straightforward way. By solving the coupled system in polar coordinates, the conditions for the existence of phase-locked solutions are derived. This leads us to demonstrate various oscillatory scenarios in several parameter ranges. Stability or instability of the phase-locked solutions is justified in some cases. Moreover, we also address the bifurcation diagram of the periodic solutions and the relationships between the findings from the Hopf bifurcation theory and those from the polar-coordinate setting.