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I believe self-oscillation is where the resonance is set so high that it excites itself (almost by feedback) and creates a new tone.
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True.
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I think the difference between self-oscillation in digital and analogue is that in analogue you don't have to hold down a key.
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Not really
The name self-oscillation implies that the filter produces a tone of its own, without any input signal.
Some analog filters self-oscillate, and some don't, by nature of their design. Likewise, some digital filters model this behavior, and some don't. The standard low-pass filter in Virus does not self-oscillate (and this is even mentioned in Howard Scarr's tutorial), but "Analog 4-pole" in Virus TI does.
just my 2c