Bagnoli Franco, Rechtman Raúl
Dipartimento di Fisica e Astronomia, Università di Firenze, Via G. Sansone 1, 50017 Sesto Fiorentino, Firenze, Italy and INFN, Sezione di Firenze, Firenze, Italy.
Instituto de Energías Renovables, Universidad Nacional Autónoma de México, Apartado Postal 34, 62580 Temixco, Morelos, Mexico.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042913. doi: 10.1103/PhysRevE.92.042913. Epub 2015 Oct 14.
We study models of a society composed of a mixture of conformist and reasonable contrarian agents that at any instant hold one of two opinions. Conformists tend to agree with the average opinion of their neighbors and reasonable contrarians tend to disagree, but revert to a conformist behavior in the presence of an overwhelming majority, in line with psychological experiments. The model is studied in the mean-field approximation and on small-world and scale-free networks. In the mean-field approximation, a large fraction of conformists triggers a polarization of the opinions, a pitchfork bifurcation, while a majority of reasonable contrarians leads to coherent oscillations, with an alternation of period-doubling and pitchfork bifurcations up to chaos. Similar scenarios are obtained by changing the fraction of long-range rewiring and the parameter of scale-free networks related to the average connectivity.
我们研究了一个由从众者和理性叛逆者混合组成的社会模型，这些个体在任何时刻持有两种观点之一。从众者倾向于认同其邻居的平均观点，而理性叛逆者则倾向于持不同意见，但在绝大多数人意见一致的情况下会回归从众行为，这与心理学实验结果相符。该模型在平均场近似以及小世界网络和无标度网络上进行研究。在平均场近似中，很大一部分从众者会引发观点极化，即叉形分岔，而大多数理性叛逆者会导致相干振荡，伴随着倍周期分岔和叉形分岔交替出现直至混沌。通过改变长程重连的比例以及与平均连通性相关的无标度网络参数，可得到类似的情况。
