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Modeling transition in SV-RNM

Hello,

I've created a SystemVerilog model for an analog block using Real Number Modeling. Everything works well except during transitions when my analog block requires time to stabilize and appears to oscillate slightly. I would like to attempt to model these transitions. Do you have any suggestions on how I might proceed? I'm also curious if these transitions resemble any known phenomena that I could discretely model, such as a filter or similar concept.

The transitions look like this :

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