标题： 带有极化和去极化的爆炸性意见传播通过不对称感知 显示英文标题

标题： Explosive opinion spreading with polarization and depolarization via asymmetric perception

摘要： 极化在经济、政治、宗教和意识形态等方面显著影响社会分化。 理解这些机制是制定缓解这种分化并促进去极化的策略的关键。 我们的研究考察了通过非线性发生率项建模的不对称意见感知如何影响结构化社区内的极化和去极化。 我们证明，这种不对称性会导致爆炸性极化，并引发滞后效应，从而导致突然的去极化。 我们开发了一种平均场近似来解释非线性发生率如何导致一阶相变以及分岔的性质。 这种方法还有助于理解意见如何根据潜在的社会网络社区进行极化，以及这些现象如何与这类转变的性质交织在一起。 数值模拟验证了分析结果。 显示英文摘要

摘要： Polarization significantly influences societal divisions across economic, political, religious, and ideological lines. Understanding these mechanisms is key to devising strategies to mitigate such divisions and promote depolarization. Our study examines how asymmetric opinion perception, modeled through nonlinear incidence terms, affects polarization and depolarization within structured communities. We demonstrate that such asymmetry leads to explosive polarization and causes a hysteresis effect responsible for abrupt depolarization. We develop a mean-field approximation to explain how nonlinear incidence results in first-order phase transitions and the nature of bifurcations. This approach also helps in understanding how opinions polarize according to underlying social network communities and how these phenomena intertwine with the nature of such transitions. Numerical simulations corroborate the analytical findings.