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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2603.21838 |
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| _version_ | 1866917543671758848 |
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| author | Ruszel, Wioletta M. Spitoni, Cristian |
| author_facet | Ruszel, Wioletta M. Spitoni, Cristian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21838 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topology, noise, and parallel updates in a model of circular opinion dynamics Ruszel, Wioletta M. Spitoni, Cristian Dynamical Systems 60K35 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. |
| title | Topology, noise, and parallel updates in a model of circular opinion dynamics |
| topic | Dynamical Systems 60K35 |
| url | https://arxiv.org/abs/2603.21838 |