Topological Kuramoto model on cell complexes yields phase-locked states via winding numbers, with multistability requiring boundaries of at least five elements and cascades across dimensions.
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In finite-size adaptive networks with delays, heterogeneous nucleation produces single-step or multi-step synchronization transitions controlled by delay magnitude and frequency distribution class, with an analytical upper bound for two-cluster states.
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Phase locking and multistability in the topological Kuramoto model on cell complexes
Topological Kuramoto model on cell complexes yields phase-locked states via winding numbers, with multistability requiring boundaries of at least five elements and cascades across dimensions.
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Delay-Controlled Heterogeneous Nucleation in Adaptive Dynamical Networks
In finite-size adaptive networks with delays, heterogeneous nucleation produces single-step or multi-step synchronization transitions controlled by delay magnitude and frequency distribution class, with an analytical upper bound for two-cluster states.