In Europe I saw many such trees. Recently I learned this tree is called Mimosa Tree, or Persian Silk Tree or Pink Silk Tree and that it is a native of Iran. In 1800s it was brought to Europe by an Italian and from there to Florida, California, Panama and elsewhere!
I have decided to buy this tree and plant it in my home in Panama as a way to remember my grandparents.
The flowers are like silk and when I was a kid (and even now) I loved to rub one on my face. It just feels so good!