arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0903.2646physics.comp-phphysics.soc-ph
收藏

社交网络中的无方程多尺度计算:从基于Agent的建模到粗粒度稳定性和分叉分析

Equation-Free Multiscale Computations in Social Networks: from Agent-based Modelling to Coarse-grained Stability and Bifurcation Analysis

A. C. Tsoumanis, C. I. Siettos, I. G. Kevrekidis, G. V. Bafas

摘要:

我们专注于多尺度计算,分歧理论和社交网络之间的接口。特别是,我们解决了如何方程免费的方法,最近开发的计算框架,可以被利用来系统地提取粗粒度的,新兴的动态信息,通过桥接详细的,基于代理的模型的社会网络上的互动,宏观的,系统级的,连续数值分析工具。对于我们的插图,我们使用一个简单的动态代理为基础的模型,描述个人之间的信息传播下模仿在一个社会网络中的私人和公共信息。我们描述的规则管理的代理人的情绪状态动态的演变,并发现,通过模拟,多个稳定的稳态作为网络拓扑结构的函数。使用方程自由的方法,我们跟踪这些固定的解决方案对网络参数的依赖,并量化其稳定性的形式粗粒度的分歧图。

英文摘要:

We focus at the interface between multiscale computations, bifurcation theory and social networks. In particular we address how the Equation-Free approach, a recently developed computational framework, can be exploited to systematically extract coarse-grained, emergent dynamical information by bridging detailed, agent-based models of social interactions on networks, with macroscopic, systems-level, continuum numerical analysis tools. For our illustrations we use a simple dynamic agent-based model describing the propagation of information between individuals interacting under mimesis in a social network with private and public information. We describe the rules governing the evolution of the agents emotional state dynamics and discover, through simulation, multiple stable stationary states as a function of the network topology. Using the Equation-Free approach we track the dependence of these stationary solutions on network parameters and quantify their stability in the form of coarse-grained bifurcation diagrams.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑