Symbunt Report: I need Advanced time period option
First create 2 groups, one for donors for time period 2010-2013 and the second for period 2014-present.

Then go to Search - Custom Searches - Include / Exclude Search

Then choose group 1 as "include group" and group 2 as "exclude group" and click Search.

The result will contain exactly the people you want.
It would make sense to add them to a third group, so you can send them a Mailing or whatever you want with them.