MaxStepFraction

MaxStepFraction
is an option to functions like NDSolve that specifies the maximum fraction of the total range to cover in a single step.

Make sure that NDSolve uses at least 100 steps over the integration range:

Out[1]=

Out[2]=

Features with small relative size in the integration interval can be missed:

Use MaxStepFraction to ensure features are not missed, independent of interval size:

For an interval length l, MaxStepFraction->f is equivalent to MaxStepSize