Bar magnets side by side, opposite polarity, repulsion at null point?

Bar magnets side by side with opposite polarity will attract and attach to one another if they get close enough to one another. Besides that strong attractive force between the poles, is there also a weaker repulsive force between the sides of the magnets? The magnetic flux of the magnets flows in opposite direction along the sides, and there is a "null point" in the overall field.

The magnetic flux looks very similar, almost identical, to two bar magnets with opposing ends, repelling one another.