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Synchronization of Heterogeneous Kuramoto Oscillators with Graphs of Diameter Two by Gushchin, Andrey; Mallada, Enrique; Tang, Ao is a scholarly article available to read on EtoBox.

What is Synchronization of Heterogeneous Kuramoto Oscillators with Graphs of Diameter Two about?

In this article we study synchronization of Kuramoto oscillators with heterogeneous frequencies, and where underlying topology is a graph of diameter two. When the coupling strengths between every two connected oscillators are the same, we find an analytic condition that guarantees an existence of a Positively Invariant Set (PIS) and demonstrate that existence of a PIS suffices for frequency synchronization. For graphs of diameter two, this synchronization condition is significantly better than existing general conditions for an arbitrary topology. If the coupling strengths can be different for different pairs of connected oscillators, we formulate an optimization problem that finds sufficient for synchronization coupling strengths such that their sum is minimal.

Author

Gushchin, Andrey; Mallada, Enrique; Tang, Ao

Published

2015

Language

EN