What is the point called were the indicator just changes color in a neutralization reaction?
The equivalence point.
This may really depend on the type of indicator and acid/base system you are using. Some indicators go through a intermediate color changing from their initial state to their "end point" color.
Weak acid or base titrations are always harder to "see" in transition. Strong acid/base titrations usually show a clear change to "endpoint" shortly after the initial color "fluctuation" that may be seen at the equivalence point.
The equivalence point is the point where the concentrations of the