The U.S. military decoration called this "cluster" denotes multiple bestowals of an award such as the Purple Heart
[DOC] [TLE] GENERAL NORMAN SCHWARZKOPF: REST IN PEACE - PoliceLink [PAR] Purple Heart (with Oak Leaf Cluster) ... U.S. Non-Military and foreign military 
awards: .... States military awards and decorations signifying multiple bestowals 
of a particular award.