Consensus in a heterogeneous influence network.
Consensus in a heterogeneous influence network.
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DOI：
10.1103/physreve.74.037101
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发表时间：
2006-09
期刊：
影响因子：
--
通讯作者：
Wen Yang;L. Cao;Xiaofan Wang;Xiang Li
中科院分区：
文献类型：
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作者：
Wen Yang;L. Cao;Xiaofan Wang;Xiang Li
我们考虑一个动态网络模型，其中许多智能体都以相同的恒定绝对速度在平面上运动。在每个时间步长，每个agent的方向被更新为其方向的平均值加上可以影响它的其他agent的方向。每个agent的影响能力用其影响半径表示，影响半径是根据指数在2到无穷之间的幂律分布随机选择的。随着标度指数的减小，网络的半径分布变得更加异构，并且由于少数枢纽智能体的主导作用，网络中的智能体之间更容易达成方向共识。此外，在一个强异构影响网络中，当且仅当一小部分hub代理能够被控制向期望方向移动时，几乎所有代理最终都会向相同的期望方向移动。这些结果也反映了异质影响网络的“稳健而脆弱”特征。
We consider a dynamical network model in which a number of agents all move on the plane with the same constant absolute velocity. At each time step, each agent's direction is updated as the average of its direction plus the directions of other agents who can influence it. The influencing capability of each agent is represented by its influencing radius, which is randomly chosen according to a power-law distribution with a scaling exponent between 2 and infinity. As the value of the scaling exponent decreases, the radius distribution becomes more heterogeneous and the network becomes much easier to achieve direction consensus among agents due to the leading roles played by a few hub agents. Furthermore, almost all agents will finally move in the same desired direction in a strong heterogeneous influence network, if and only if a small fraction of hub agents can be controlled to move in the desired direction. These results also reflect the "robust yet fragile" feature of a heterogeneous influence network.