论文标题
流动网络中拓扑控制的紧急动态
Topologically controlled emergent dynamics in flow networks
论文作者
论文摘要
流动网络对于活生物体和工程系统都是必不可少的。这些网络通常至少部分地通过其拓扑来控制复杂的动态。先前的作品表明，拓扑复杂的网络明确振荡或兴奋性元素可以显示丰富的新兴动态。在这里，我们提出了一个具有非线性电导的复杂流动网络的模型，该模型允许体积内部积累/耗尽，而没有任何固有的振荡或激发行为。在不存在压力输入和输出的任何时间依赖性的情况下，我们会以自我维持的波的形式观察到新兴的动态，这些动态通过系统传播。这些波的频率在很大程度上取决于网络体系结构，并且可以用拓扑度量来解释。
Flow networks are essential for both living organisms and enginneered systems. These networks often present complex dynamics controlled, at least in part, by their topology. Previous works have shown that topologically complex networks interconnecting explicitly oscillatory or excitable elements can display rich emerging dynamics. Here we present a model for complex flow networks with non-linear conductance that allows for internal accumulation/depletion of volume, without any inherent oscillatory or excitable behavior at the nodes. In the absence of any time dependence in the pressure input and output we observe emerging dynamics in the form of self-sustained waves, which travel through the system. The frequency of these waves depends strongly on the network architecture and it can be explained with a topological metric.
