Collective dynamics of opposing groups with stochastic communication

2019/07/11 by Shi Jin, Jin, Shi, Ruiwen Shu +1 · 1 citation
Physics and Astronomy · Social Sciences · #34D05 #91C20 #91D30 #Classical Analysis and ODEs (math.CA) #Complex Network Analysis Techniques #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.1907.05566

openalex publication_date 2019/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We propose models describing the collective dynamics of two opposing groups of individuals with stochastic communication. Individuals from the same group are assumed to align in a stochastic manner, while individuals from different groups are assumed to anti-align. Under reasonable assumptions, we prove the large time behavior of separation, in the sense that the variation inside a group is much less than the distance between the two groups. The separation phenomena are verified by numerical simulations.

Citations

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