论文标题
在签名网络上的多主题信念动态中持续的振荡
Sustained oscillations in multi-topic belief dynamics over signed networks
论文作者
论文摘要
我们研究具有共同信念系统的代理网络网络中多个相互联系的主题的信念形成动力学。我们建立了足够的条件和必要条件，在HOPF分叉中，网络上出现了信念的持续振荡，并表征了通信图和信念系统图在塑造振荡的相对相位和振幅模式中的作用。此外，我们区分了表现出这种振荡的广泛图形与没有振荡的图形。
We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary conditions under which sustained oscillations of beliefs arise on the network in a Hopf bifurcation and characterize the role of the communication graph and the belief system graph in shaping the relative phase and amplitude patterns of the oscillations. Additionally, we distinguish broad classes of graphs that exhibit such oscillations from those that do not.
