基于非参数同步动力学方法的真实网络社团结构
Community structure in real-world networks from a non-parametrical synchronization-based dynamical approach
摘要:
这项工作分析了社区结构在现实世界中的网络同步的基础上的不相同的耦合混沌罗斯勒振荡器的每一个特征在于一个定义的固有频率,并根据一个预定义的网络拓扑结构耦合的问题。互动计划设想了一个均匀增加的耦合力,以模拟一个社会中的代理之间的关联增长的时间。为了提高同步过程中可能出现的相关态的稳定性,我们提出了一种无参数机制,该机制根据相关数据推导出的动态连接矩阵来调整耦合振荡器的特征频率。我们发现,特征频率向量,结果从适应机制揭示了潜在的社区结构存在于网络中。
英文摘要:
This work analyzes the problem of community structure in real-world networks based on the synchronization of nonidentical coupled chaotic Rössler oscillators each one characterized by a defined natural frequency, and coupled according to a predefined network topology. The interaction scheme contemplates an uniformly increasing coupling force to simulate a society in which the association between the agents grows in time. To enhance the stability of the correlated states that could emerge from the synchronization process, we propose a parameterless mechanism that adapts the characteristic frequencies of coupled oscillators according to a dynamic connectivity matrix deduced from correlated data. We show that the characteristic frequency vector that results from the adaptation mechanism reveals the underlying community structure present in the network.
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