S. Douady et Y. Couder, PHYLLOTAXIS AS A DYNAMICAL SELF-ORGANIZING PROCESS .3. THE SIMULATIONOF THE TRANSIENT REGIMES OF ONTOGENY, Journal of theoretical biology, 178(3), 1996, pp. 295
In two previous articles [Douady & Couder (1996a,b)] two iterative sys
tems were defined, based respectively on hypotheses developed by Hofme
ister (1868) and Snow & Snow (1952). It was shown that in the latter m
odel all the variety of the spiral, whorled and multijugate patterns o
bserved on botany could be obtained as steady regimes of the iteration
. In this third article, several of the characteristic transient evolu
tions observed during the ontogeny are revisited. In the framework of
the iterative system of Snow & Snow these evolutions can be reproduced
, provided realistic initial conditions and time variations of the par
ameters are imposed. (C) 1996 Academic Press Limited