Fluctuation-driven flocking movement in three dimensions and scale-free correlation.
Fluctuation-driven flocking movement in three dimensions and scale-free correlation.
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DOI：
10.1371/journal.pone.0035615
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发表时间：
2012
期刊：
影响因子：
3.7
通讯作者：
Gunji YP
中科院分区：
文献类型：
--
作者：
Niizato T;Gunji YP
最近在群集行为的研究进展允许更复杂的分析比以前可能的。“拓扑距离”和“无标度相关性”的概念是促成这一改进的重要发展。这些概念要求我们在应用于理论模型时重新考虑邻域的概念。先前的工作假设个体与一定半径（称为“度量距离”）内的邻居互动。然而，其他的研究表明，假设拓扑相互作用，椋鸟平均与一群中的六个或七个最近的邻居相互作用。考虑到这一观察，我们以前提出了一个度量拓扑相互作用模型在两个维度。我们模型的目标是将度量距离和拓扑距离这两个交互分量统一到一个规则中。在我们以前的研究中，我们证明了度量拓扑相互作用模型可以解释一个真实的鸟类群集现象称为无标度相关，这是首次报道Cavagna等人。在这项研究中，我们扩展了我们的模型，同时也占速度的变化。该三维度量-拓扑相互作用模型显示了速度和方向的无标度相关性。最后，我们引入了模型的一个额外的新特性，即羊群可以存储和释放其波动。
Recent advances in the study of flocking behavior have permitted more sophisticated analyses than previously possible. The concepts of “topological distances” and “scale-free correlations” are important developments that have contributed to this improvement. These concepts require us to reconsider the notion of a neighborhood when applied to theoretical models. Previous work has assumed that individuals interact with neighbors within a certain radius (called the “metric distance”). However, other work has shown that, assuming topological interactions, starlings interact on average with the six or seven nearest neighbors within a flock. Accounting for this observation, we previously proposed a metric-topological interaction model in two dimensions. The goal of our model was to unite these two interaction components, the metric distance and the topological distance, into one rule. In our previous study, we demonstrated that the metric-topological interaction model could explain a real bird flocking phenomenon called scale-free correlation, which was first reported by Cavagna et al. In this study, we extended our model to three dimensions while also accounting for variations in speed. This three-dimensional metric-topological interaction model displayed scale-free correlation for velocity and orientation. Finally, we introduced an additional new feature of the model, namely, that a flock can store and release its fluctuations.
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影响因子：
2.5
作者：
Ballerini, Michele;Cabibbo, Nicola;Zdravkovic, Vladimir
通讯作者：
Zdravkovic, Vladimir
影响因子：
4
作者：
Grégoire, G;Chaté, H;Tu, YH
通讯作者：
Tu, YH
影响因子：
1.6
作者：
Parrish, JK;Viscido, SV;Grünbaum, D
通讯作者：
Grünbaum, D
DOI：
10.1073/pnas.0711437105
发表时间：
2008-01-29
影响因子：
11.1
作者：
Ballerini, M.;Calbibbo, N.;Zdravkovic, V.
通讯作者：
Zdravkovic, V.
影响因子：
2
作者：
Couzin, ID;Krause, J;Franks, NR
通讯作者：
Franks, NR