plotting – Track a moving peak on a periodic list Animated chart

Does something like this do what you want?

ClearAll(values, maxValues, valuesAndMax);
values = Table({i, Sin(2*Pi*i/100 - j)}, {j, 0, 10}, {i, 0, 100});
maxValues = 
  Flatten(#, 
     1) & /@ (With({max = Max(#((;; , -1)))}, 
       Select(#, #((2)) == max &)) & /@ values);
valuesAndMax = Transpose({maxValues, values});
ListAnimate(
 ListLinePlot(#((2)), 
    Epilog -> {Orange, PointSize -> .02, Point(#((1)))}) & /@ 
  valuesAndMax)

The maximum value is shown as an orange dot that moves with the graphics.