Ordinary logistics describes growth that is initially exponential but
eventually saturates. After reaching saturation, if the evolving, logi
stic variable changes ifs nature in some slight way, or if a different
component becomes significant, a new cycle, or several, of logistic g
rowth appears beyond the first This is not uncommon with multidimensio
nal parameters in complex systems. The resulting behavior is just that
of sequential emergence, but now with a simply understood mechanism.
The mathematical description of logistic growth is extended to quantit
atively characterize these escalations and its application to a variet
y of evolving systems is considered.