Daisies belong to the family of Compositae along with thistle, aster and goldenrod family. Compositae includes over 800 genera and 15000 species. Osteospermum is commonly known as the african daisy or south african daisy. They come in other colours but to me nothing can compare to this variety.
Many people grow osteospermums as annuals, they are however half-hardy perennials or subshrubs. In areas where there are frosts they will not survive during the cold months. You can transplant them to pots and keep them indoors during these months and move them out of doors again in once the danger of frost has passed. They are propagated by cuttings.
There is an excellent site that has all you need to know about this beautiful plant HERE.
Happy Balcony Gardening!