论文标题
兴奋流系统中的新兴动态
Emergent dynamics in excitable flow systems
论文作者
论文摘要
流网络可以描述许多天然和人造系统。我们提出了一个允许累积体积的流系统的模型，包括当前和压力差之间非线性关系的导管，并且可以应用于任意拓扑网络。该模型显示复杂的动力学，包括在没有输入和输出中任何动力学的情况下进行自我维持的振荡。在这项工作中，我们通过分析显示了1D情况下自我维持的振荡的起源。我们从数值上研究了在不同条件下任意拓扑系统的行为：当网络具有线性电导的导管区域时，我们讨论了它们的兴奋性，不同边界条件的效果和波浪传播。
Flow networks can describe many natural and artificial systems. We present a model for a flow system that allows for volume accumulation, includes conduits with a non-linear relation between current and pressure difference, and can be applied to networks of arbitrary topology. The model displays complex dynamics, including self-sustained oscillations in the absence of any dynamics in the inputs and outputs. In this work we analytically show the origin of self-sustained oscillations for the 1D case. We numerically study the behavior of systems of arbitrary topology under different conditions: we discuss their excitability, the effect of different boundary conditions and wave propagation when the network has regions of conduits with linear conductance.
