Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:A2L-C
Session:
Number:A2L-C-04
Cascading Formation of Synchronous Clusters of Coupled Second-Order Kuramoto Oscillators
Jian Gao , Konstantinos Efstathiou,
pp.20-20
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
We consider the second-order Kuramoto oscillators with inertias and show a new type of synchronization process, the cascading formation of clusters. Several clusters of oscillators are synchronized in sequence with a fixed coupling strength. The formation of some clusters is a necessary condition for the formation of other ones, forming a cascading chain. The intermediate states in the process are all metastable. We propose a generalized self-consistent method to determine the positions, sizes, and orders of the clusters. This process will be stopped in the first round of cascade in the limit of zero inertias as the classical Kuramoto oscillators.