Collective dynamics of opposing groups with stochastic communication

Shi Jin; Ruiwen Shu

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arXiv · 1907.05566

Collective dynamics of opposing groups with stochastic communication

Shi Jin·Ruiwen Shu

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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.

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Shi Jin, Ruiwen Shu. 2019-07-11. Collective dynamics of opposing groups with stochastic communication. https://arxiv.org/abs/1907.05566

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