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Topological trapping in circular midpoint opinion dynamics
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DOI：10.1016/j.physa.2026.131794.png)
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Abstract
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• Topology reshapes transients without changing the final equilibrium. • Winding number sectors emerge in circular midpoint opinion dynamics. • Branch-crossings govern transitions between topological sectors. • Sector locking produces long-lived trapping near twisted states. • Exact contraction is proved in an adaptive co-moving frame.
Keywords:
Circular opinion dynamics
Midpoint dynamics
Metastability
Winding number
Topological trapping
Consensus
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