A duplex voter model on multiplex networks exhibits spontaneous symmetry-breaking and a cusp bifurcation with noise that unfolds explosive versus non-explosive transitions.
Liggett.Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
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Symmetry-Breaking and Hysteresis in a Duplex Voter Model
A duplex voter model on multiplex networks exhibits spontaneous symmetry-breaking and a cusp bifurcation with noise that unfolds explosive versus non-explosive transitions.