Came across this video of two Aussies who built there own home made gas turbine in the 80's.
A couple of the early runs on this crude engine clearly demonstrate compressor surging.
YouTube - Jet Engine Backyard - Episode 1
YouTube - Jet Engine Backyard - Episode 2
For a more cogent analysis of compressor stall and the dynamics of this complex phenomenon then Cranfield engineering school is a good starting point. This thesis provides a good intro.
https://dspace.lib.cranfield.ac.uk/b...ng%20Stall.pdf
If you are really into the physics then try some of the introductory papers provided by JPL, MIT or NASA (some of their stuff is available free on the internet).
Part 2 of the Turbofan Jet Engine failure recognition series covers surges at a basic level.
YouTube - pt. 2 of 3 Turbofan Jet Engine failure recognition