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.

翻译：我们研究在具有共同信仰体系的代理人网络中就多个相互关联的主题形成信仰的动态,为在Hopf两侧的网络上产生持续的信仰波动创造充分的条件和必要条件,并描述通信图和信仰系统图在形成振动的相对阶段和振幅模式方面的作用。