Technical Solutions

Solution:

High-level plotting functions, by default, clear the axes properties (except the 'position' and the 'units' property).

To prevent calls to PLOT, BAR, etc. from replacing the buttondownfcn, set the 'NextPlot' property of the axes to 'replacechildren' instead of the default 'replace'. This will clear the axes contents and plot the new data without replacing the axes object itself.

If you want to plot data over your existing data, then set the 'NextPlot' property of the axes to 'Add'.

An alternative workaround is to assign 'ButtoDownFcn' for the axes again after calling the plot.

axes(axes_handle);
bar(n,m);
set(axes_handle, 'ButtonDownFcn', {@FcnName, arg1, arg2});