History of the star: A star on the transverse beam of Crux, the Cross. Mimosa, a plant, from Latin mimus ‘mimic’ (or mime), because its leaves seem to flinch when touched, mimicking a recoiling animal. 

There is little astrological interpretation associated with these large stars in Crux because the Cross, was unknown to the ancients by its present title, its four chief stars being noted by Ptolemy (in Egypt where it was visible) as a part of the Centaur Centaurus, which now surrounds it on three sides. Bayer, who invented Crux in 1679, outlined it over the hind feet of the Centaur, these now are alpha (Acrux), beta (Mimosa), gamma (Gacrux), and delta Crucis (unnamed), —alpha at the foot, gamma at the top, with beta, and delta (unnamed), as the transverse.

[Star Names, Their Lore and Meaning, Richard Hinchley Allen, 1889].  

Influence of constellation: "Crux is said to give perseverance, but many burdens, trials and responsibilities, together with much suffering and many hardships. In connection with rulerships of countries it may be noted that Brazil was named the Land of the Holy Cross by the discoverer Cabral on May 1st 1500, and that the constellation Crux has been represented on the postage stamps of that country". (Fixed Stars and Constellations in Astrology, Vivian E. Robson, 1923)

The general astrological influences of the star: An inventive mind, intuition, a grasp for the inner nature of one's fellow man. Deeply religious nature connected with mystical and theosophical interests. (Fixed Stars and Their Interpretation, Elsbeth Ebertin, 1923)