Ds. Dendrinos et M. Sonis, SOCIOSPATIAL STOCKS AND ANTISTOCKS - THE LOGISTIC MAP IN REAL-SPACE, The annals of regional science, 27(4), 1993, pp. 297-313
In this paper, the behavior of the simple logistic map, May (1976), in
the real space (R) is analyzed. Interest in the global behavior of th
e map, and in particular when the environmental parameter and the stat
e variable obtain' negative values, is warranted because actual, relat
ive and negative stock sizes have particular meaning in socio-spatial
dynamics. It is shown that a continuous as well as a non-symmetric cor
respondence of behavior exists, from the positive to the negative doma
in in R.