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.
If the ring size iss=N [0] = N[1] ≥3, the number of stable phased-locked solutions 5 10 15 20 25 30 Ring size s 1 3 5 7 9 11 13 15Nstable Simulation 1 + 2 s 1 4 FIG
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
nlin.AO 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.