论文标题
在沮丧的相互作用扩散网络中，噪声引起的周期性
Noise-induced periodicity in a frustrated network of interacting diffusions
论文作者
论文摘要
我们研究了沮丧的相互作用扩散网络中集体周期性行为的出现。根据它们的相互耦合，将颗粒分为两个社区。一方面，两个人群内相互作用都是积极的。每个粒子都希望符合粒子在自己社区中的平均位置。另一方面，人口间的相互作用具有不同的迹象：一个人群的颗粒希望符合另一个社区粒子的平均位置，而后者的粒子则需要相反。我们表明，该系统具有噪声引起的周期性现象：在无限的体积限制中，在一定范围的相互作用强度下，尽管该系统在零噪声限制中没有周期性的行为，但中等量的噪声可能会产生有吸引力的周期性定律。
We investigate the emergence of a collective periodic behavior in a frustrated network of interacting diffusions. Particles are divided into two communities depending on their mutual couplings. On the one hand, both intra-population interactions are positive; each particle wants to conform to the average position of the particles in its own community. On the other hand, inter-population interactions have different signs: the particles of one population want to conform to the average position of the particles of the other community, while the particles in the latter want to do the opposite. We show that this system features the phenomenon of noise-induced periodicity: in the infinite volume limit, in a certain range of interaction strengths, although the system has no periodic behavior in the zero-noise limit, a moderate amount of noise may generate an attractive periodic law.
