ABSTRACT We present a complete analysis of the Schelling dynamical system of two connected neighborhoods, with or without population reservoirs, for different types of linear and nonlinear tolerance schedules. We show that stable integration is only possible when the minority is small and combined tolerance is large. Unlike the case of the single neighborhood, limiting one population does not necessarily produce stable integration and may destroy it. We conclude that a growing minority can only remain integrated if the majority increases its own tolerance. Our results show that an integrated single neighborhood may not remain so when a connecting neighborhood is created.

中文翻译：

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两个邻域无组织隔离的动态系统模型

摘要 我们针对不同类型的线性和非线性容差表，对有或没有人口蓄水池的两个相连邻域的 Schelling 动力系统进行了完整的分析。我们表明，只有当少数群体很小且组合容差较大时，才有可能实现稳定的积分。与单一社区的情况不同，限制一个人口并不一定会产生稳定的整合，可能会破坏它。我们得出的结论是，只有当大多数人提高自己的容忍度时，越来越多的少数人才能保持融合。我们的结果表明，当创建连接邻域时，集成的单个邻域可能不会保持不变。