M. Sonis, CALCULUS OF ITERATIONS AND LABOR CAPITAL CORE PERIPHERY RELATIVE REDISTRIBUTION DYNAMICS, Chaos, solitons and fractals, 4(4), 1994, pp. 535-552
The objective of this paper is to supply, with the help of the log-lin
ear two-stock and two-location relative dynamics model, a complete des
cription of the qualitative complementarity and competition (i.e. subs
titution) properties of the relative shifts in the shares of labor and
capital distributed between a core and its periphery. Complete analys
is of the labor-capital core-periphery relative mobility can be achiev
ed by the movement of equilibria in the phase space. Crossing of bound
aries of the stability domain reveals a plethora of possible labor-cap
ital redistribution phenomena from stability, periodicity. Arnold mode
-locking tongues and quasi-periodicity, to strange attractors and stra
nge containers. The movement of equilibria in phase space reveals the
universal properties of the log-linear labor-capital core-periphery re
lative dynamics: for each preset combination of qualitative properties
in labor-capital relative equilibria. it is possible to choose parame
ters of the considered log-linear model which generate the needed even
t.