Abstract:We study a circular opinion dynamics model with local midpoint interactions, extended to allow parallel updates of multiple sites. On a ring, the dynamics admits twisted states associated with integer winding numbers. We investigate how bi-modal noise, which drives opinions toward two antipodal directions, affects these configurations. Numerically, we find that noise both destabilizes winding states and induces a flip--flop regime, characterized by macroscopic switching between preferred orientations. We introduce order parameters that distinguish topological trapping from symmetry breaking, providing a simple macroscopic description of the dynamics.
From: Cristian Spitoni [view email]
[v1]
Mon, 23 Mar 2026 11:25:34 UTC (2,065 KB)
[v2]
Thu, 28 May 2026 12:15:00 UTC (1,960 KB)
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