Emergent dynamics in excitable flow systems

Flow networks can describe many natural and artificial systems. We present a model for flow system that allows volume accumulation, includes conduits with nonlinear relation between current pressure difference, be applied to of arbitrary topology. The displays complex dynamics, including self-sustained oscillations in the absence any dynamics inputs outputs. In this work we analytically show origin one-dimensional case. numerically study behavior systems topology under different conditions: discuss their excitability, effect boundary conditions, wave propagation when network has regions linear conductance.