Two-community noisy Kuramoto model with general interaction strengths. II

S. Achterhof, JM Meylahn*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)


We generalize the study of the noisy Kuramoto model, considered on a network of two interacting communities, to
the case where the interaction strengths within and across communities are taken to be different in general. Using
a geometric interpretation of the self-consistency equations developed in Part I of this series as well as perturbation
arguments we are able to identify all solution boundaries in the phase diagram. This allows us to completely classify
the phase diagram in the four dimensional parameter space and identify all possible bifurcation points. Furthermore,
we analyze the asymptotic behavior of the solution boundaries. To illustrate these results and the rich behavior of the
model we present phase diagrams for selected regions of the parameter space.
Original languageEnglish
Article number033116
Number of pages19
Issue number3
Publication statusPublished - Mar 2021
Externally publishedYes


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