System of ODEs on a graph

by R.White   Last Updated August 18, 2019 16:20 PM - source

I have a directed graph consisting of nodes and edges. A system of ordinary differential equations describes how the value at each node changes with respect to time, as a function of the value of the surrounding nodes that are connected by edges.

After numerical integration I can see how the value at each node changes as a function of time. Is there a way for me to see how each edge affects the change at a single node (using the Jacobian perhaps)?

Apologies for the lack of mathematical language.

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