The Kuramoto model has become the most popular to describe collective dynamics emerging in a wide range of complex systems, along with its variations. Among these models, the Kuramoto model with inertia has been extensively investigated in power grids. In this talk, I would like to introduce our two recent results on collective dynamics induced by inertia. Firstly, I will focus on the emergence of local synchronization (consisting of secondary synchronization, tertiary synchronization and so on termed with respect to their synchronization frequency) within the Kuramoto-desynchronization region in the globally coupled non-identical oscillators induced by inertia. Secondly, I will focus on how synchronization rates can be regulated by time delay, phase shift and inertia at a constant collective frequency. Especially, we consider linear dynamics near synchronized state and calculate the relaxation rate.
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The experimental physicist Prof. Xiao from Beijing University of Posts and Telecommunications offers a talk on physics research and education.In his teaching and research, Prof. Xiao has been inspired and achieved much from working with undergraduates. When and where students make mistakes in routine physics experiment classes, nontrivial outcomes may reveal interesting and complex behaviours. ...