Hesitation after burnout.
At it's very basics. A hesitation is equal to hunting for more fuel. The motor is waiting for something to ignite. When it finally collects enough and catches up, "Bam", off she goes again.
A sputter is the opposite. The ***** is drowning and has to spit some out before she catches up again.
And when you say you give it. Is this a slow or a fast given. Are we mashing or getting on an on ramp at the freeway? or is it autobahn