Diffusive Influence Systems

Diffusive Influence Systems
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扩散影响系统

DOI:
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发表时间:
2015
期刊:
SIAM journal on computing (Print)
影响因子:
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通讯作者:
B. Chazelle
B. Chazelle
中科院分区:
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文献类型:
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作者:
B. Chazelle

文献摘要

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影响力系统寻求对广义的影响力如何在动态网络中传播进行建模。我们建立了一个一般的分析框架,然后我们用它来证明,当图灵完备时,扩散类型的影响动力学几乎肯定是渐近周期的。除了解决一类广泛使用的多智能体系统的动力学问题外,我们还引入了一种通用的重整化方法来分析多智能体系统的分叉。
Influence systems seek to model how influence, broadly defined, spreads across a dynamic network. We build a general analytical framework which we then use to prove that, while Turing-complete, influence dynamics of the diffusive type is almost surely asymptotically periodic. In addition to resolving the dynamics of a widely used family of multiagent systems, we introduce a general renormalization method for the bifurcation analysis of multiagent systems.