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The Kuramoto model on the Sierpinski Gasket II: Twisted states

Medvedev, Georgi S. et al.
arXiv (All) · Papers
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adaptation-and-self-organizing-systemsanalysis-of-pdesdynamical-systemsmathematical-physics
We study the Kuramoto model (KM) of coupled phase oscillators on graphs approximating the Sierpinski gasket (SG). As the size of the graph tends to infinity, the limit points of the sequence of stable equilibria in the KM correspond to the minima of the Dirichlet energy, i.e., to harmonic maps from
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