I think the dynamic is true of many (stable) non-linear systems which operate in a large range (i.e. frequency/bandwidth) of inputs. If there is large noise com

I think the dynamic is true of many (stable) non-linear systems which operate in a large range (i.e. frequency/bandwidth) of inputs. If there is large noise coming in, the output is bounded, but dominated by the large noise, yet if a small amount of noise is coming in, then this noise is amplified to be a large (again bounded, but still large) output. One good example is why you begin to hear things or hallucinate after an extended absence of stimuli.[0] Perhaps an overgeneralization which is not always nice and granted, but it is not uncommon behavior in the non-linear systems we usually analyze. --- [0] https://en.wikipedia.org/wiki/Sensory_deprivation https://en.wikipedia.org/wiki/Sensory_deprivation