What is it about?
The Kuramoto model is very popular for exploring the synchronization of coupled oscillators, specifically for single-mode interactions. In this paper, we explore the synchronization behavior and transitions for an interaction function consisting of a first and second Fourier mode by utilizing the collective coordinate approach.
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Why is it important?
The behavior of multimodal interaction functions has not been explored very thoroughly in the past. This work shows that in a system with a two-mode interaction function, the transitions depend crucially on the coupling strengths. Interestingly, we found that the transitions between cluster states are due to the existence of coexisting states.
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This page is a summary of: Synchronization transitions in Kuramoto networks with higher-mode interaction, Chaos An Interdisciplinary Journal of Nonlinear Science, July 2023, American Institute of Physics,
DOI: 10.1063/5.0151038.
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