# Dynamics of a Deterministic Overflow Fluid Network

Dynamics of a Deterministic Overflow Fluid Network

This Demonstration shows how buffers behave for a deterministic overflow fluid network consisting of three nodes. In this network, each node has a buffer in front of it. On the three axes it is shown how full the buffers are: between 0 (empty) and 1 (full). In this network the fluid that is processed by a node is either routed to another node in the network or leaves the network. If a buffer is full, the fluid that cannot enter this buffer is rerouted as well. Beside the fluid that is routed to a node, the nodes also have an exogenous input.

The blue arrow gives the trajectory (i.e., how the buffers behave over time) for some starting point. A black arrow shows the derivative of the amount of fluid inside the buffers for a point in the state space; the size of a black arrow is a measure of the size of the derivative.