I have no idea if this poses some safety risks, but it worked when I was a student with a cheap induction stove. You can simply put a pair of kitchen clots under your pan to "dampen" the induction and use higher levels that do not cycle between on and off.

Again, I don't know the safety characteristics of induction so maybe I did something really stupid...

Mine pulses for the lower settings but has continuous control for the higher settings.

I believe higher-end stoves will either not pulse or pulse fast enough to effectively be continuous when you factor in the thermal inertia of the pot.

This is sadly a problem with cheap and/or crappy induction cook tops. And it is quite annoying.

One of those little traps that it's often hard to know about in advance.